Question

Find the largest number that divides 280 and 490 without leaving a remainder

Answer 1

We have to determine the largest number that divides 280 and 490 without leaving a remainder. For this, we have to find the H.C.F. of these two numbers.

As, H.C.F. is the largest positive integer which divides two or more integers without any remainder.

Let us find the factors of 280 and 490

280 = $2 \times 2 \times 2 \times 5 \times 7$

Now, we will find the factors of 490

490 =  $2 \times 5 \times 7 \times 7$

Hence, the common factors are =  $2 \times 5 \times 7$

= 70

Therefore, 70 is the largest number which divides 280 and 490 without leaving any remainder.

Answer 2

Answer:

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