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 | |||||||||||||
HCF and LCM of two number are 12 and 72 respectively. If the difference of the number is 60, then the large number is ________________ | |||
| Right Option : D | |||
| View Explanation | |||
LCM of two numbers is | |||
| Right Option : D | |||
| View Explanation |
Students / Parents Reviews [10]
Abhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thIt 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.
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7thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
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Shivam Rana
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