Find the HCF and LCM of 161 and 207
Answers
Answer:
here is your answer
Explanation:
least common multiple is 4347 and highest common factor is 7
The LCM is 1449 and HCF is 23.
GIVEN
Numbers- 161 and 207
TO FIND
The HCF and LCM of 161 and 207
SOLUTION
We can simply solve the above problem as follows;
We know that LCM or lowest common factor is the smallest positive integer that can be exactly divisible by given 2 numbers.
We are given 2 numbers - 161 and 207
LCM by long division method-
3 |161, 207
3 |161, 69
3 |161, 23
7 |161, 23
23 |23, 1
1 | 1, 1
LCM of 161 and 207 = 3×3×7×23 =1449
To find the HCF of given numbers we will apply the following formula,
Product of numbers = LCM × HCF
Therefore,
161 × 207 = 1449 × HCF
HCF = 161 × 207/1449 = 23
Hence, The LCM is 1449 and HCF is 23.
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