Question

what is the HCF of 136 & 240using ecuids division lemma​

Answer 1

Answer:

Factors of 136 are 1, 2, 4 , 8, 17, 34, 68, and 136. Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. Common factors of 36 and 136 are 1, 2, and 4. HCF of 36 and 136 is 4.

Answer 2

Answer :-

• H. C. F. of 136 and 240 = 8

To Find :-

• H. C. F. of 136 and 240 using Euclid's division lemma.

Given :-

• 136 and 240 are two whole numbers.

Step By Step Solution :-

We need to find the H. C. F. of 136 and 240 using Euclid's division lemma.

So let's do it !!

$\implies\sf \: 240 = 136 \times 1 + 104 \\ \\ \implies\sf136 = 104 \times 1 + 32 \\ \\ \implies\sf104 = 32 \times 3 + 8 \\ \\ \implies\sf 32 = 8 \times 4 + 0 \\ \\ \bf H. C. F. = 8$

Therefore H. C. F. of 136 and 240 = 8

More to Know :-

Euclid's divisions lemma states that for any two given positive integers a and b, there exist unique whole numbers q and r such that ⤵

a = bq + r, where 0 ≤ r < b.

Lemma is a proven statement used for proving another statement.

__________________________