Find the HCF and LCM of 496 and 2080 by factorization or division method.
Answers
Answer:
HCF of 496 and 2080 = 16
LCM of 496 and 2080 = 64,480
Step-by-step explanation:
496=2×2×2×2×31
2080=2×2×2×2×2×5×13
common numbers=2,2,2,2
HCF of 496 and 2080 = 16
LCM of 496 and 2080 = 64,480
The HCF(Highest common factor) and LCM of 496 and 2080 are 16 and 64,480 respectively.
Given,
Two numbers 496 and 2080
To Find,
The HCF and Lowest common factor(LCM) of 496 and 2080
Solution,
We can easily solve this question by following the below-mentioned process.
Factors of 496 will be 2 x 2 x 2 x 2 x 31
Factors of 2080 will be 2 x 2 x 2 x 2 x 2 x 5 x 13
So, common factors are 2 x 2 x 2 x2
Hence, HCF of 496 and 2080 is 16
So, including all factors of 496 and 2080, we get 2 x 2 x 2 x 2 x 2 x 5 x 13 x 31
Hence, LCM of 496 and 2080 is 64,480.
So, the final answer is that the HCF and LCM of 496 and 2080 are 16 and 64,480 respectively.
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