HCF and LCM of two numbers are 19 and 969 respectively. If one number is 57, find the other number.
- A340
- B338
- C337
- D323
Solution & Step-by-step Explanation
We know the fundamental relationship between two numbers and their HCF and LCM:
Product of two numbers=HCF×LCM
Let the first number be A=57 and the second number be B.
Given:
HCF=19
LCM=969
Substituting the values into the formula:
57×B=19×969
B=
57
19×969
Since
19
57
=3:
B=
3
969
B=323
Therefore, the other number is 323.
Product of two numbers=HCF×LCM
Let the first number be A=57 and the second number be B.
Given:
HCF=19
LCM=969
Substituting the values into the formula:
57×B=19×969
B=
57
19×969
Since
19
57
=3:
B=
3
969
B=323
Therefore, the other number is 323.