Math, asked by gurjarbh6212, 1 year ago

H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is :
A) 360
B) 180
C) 90
D) 120

Answers

Answered by pranathishreya
2


Answer:   A) 180 

Explanation:

4×27×3125=22×33×554×27×3125=22×33×55

8×9×25×7=23×32×52×78×9×25×7=23×32×52×7

16×81×5×11×49=24×34×5×72×1116×81×5×11×49=24×34×5×72×11

Therefore, H.C.F = 22×32×522×32×5 = 180

 

Answered by UltimateMasTerMind
7
______Heyy Buddy ❤______

___Here's your Answer _______

The given expression can be written as;

4 x 27 x 3125 = 2^2 × 3^3 × 5^5

8 x 9 x 25 x 7 = 2^3 × 3^2 × 5^2 × 7

16 x 81 x 5 x 11 x 49 = 2^4 × 3^4 × 5 × 7^2 × 11

We will take the expression which is common in all three to find H.C.F.

=> H.C.F = 2^2 × 3^2 × 5

=> H.C.F = 180.
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