Relationship Between HCF & LCM
Relation Between H.C.F. and L.C.M.
HCF : HCF stand for Highest Common Factor.It is also known as Greatest Common Division (GCD). The HCF of two or more given numbers is the highest of their common factors.
LCM: LCM stand for Lowest Common Multiple.It is also known as Smallest or Least Common Multiple.The LCM of two or more given numbers is the lowest of their common multiples.
Relation between HCF and LCM:
Product of two numbers = Product of their HCF and LCM.
X x Y = HCF (X , Y) X LCM (X ,Y).
Illustration1 : HCF of two numbers is 16 and their product is 6400.Find their LCM ?
Solution: Product of two numbers = HCF X LCM
6400 = 16 X LCM
LCM =
LCM=400.
Illustration2: LCM of two numbers is 15 and their product is 7500.Find their HCF?
Solution: Product of two numbers = HCF X LCM
7500 = HCF X 15
HCF =
HCF = 500.
Illustration 3 : HCF and LCM of two numbers is 16 and 15 respectively. Find their Product ?
Solution: Product of two numbers = HCF X LCM
Product of two numbers = 16 X 15
Product of two numbers = 240.
Illustration 4 : HCF and LCM of two numbers is 14 and 20 respectively. If one of the number is 10 , Find the other ?
Solution: Product of two numbers = HCF X LCM
10 X other number = 14 X 20
other number =
other number = 14 X 2 =28.
Match the following.
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| Right Option : C | |||||||||||||
| View Explanation | |||||||||||||
H.C.F. of two co-prime numbers is ___________________ | |||
| Right Option : A | |||
| View Explanation | |||
If LCM of X and Y is Z, which one of the following is correct for finding the HCF? | |||
| Right Option : C | |||
| View Explanation | |||
Students / Parents Reviews [20]
In terms of methodology I want to say that institute provides expert guidence and results oriented monitering supplements by requsite study material along with regular tests which help the students to improve their education skills.The techniques of providing education helps the students to asses...
Aman Kumar Shrivastava
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Prisha Gupta
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Om Umang
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Eshan Arora
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Barkha Arora
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Archit Segal
7thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
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10thAbhyas institute is one of the best coaching institute in the vicinity of Ambala cantt.The institute provides good and quality education to the students.The teachers are well experienced and are very helpful in solving the problems. The major advantages of the institute is extra classes for weak...
Shreya Shrivastava
8thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
