Question

d. Find only HCF of 1380, 1455 and 1620 using long division method​

Answer 1

Answer:

heyy buddy here's ur answer

Explanation:

What is the H.C.F. of 1380, 1495, and 1620?

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1 Answer



Ishan Chakraborty

, Scored a 1510 on the SAT

Answered June 20, 2018

1st method : Lets find the hcf of 1380,1495 and 1620 by euclids division algorithm.

Hcf of 1620 and 1495

1620=1495×1+125

1495=125×11+120

125=120×1+5

120=5×44

5 is hcf of 1495 and 1620.

Now lets find HCF of 5 and 1380:

1380=5×276

Therefore 5 is the hcf of 1380,1495 and 1620.

2nd method

Find the hcf by prime factorisation:

1380= 2×2×5×3×23=2^2×5^1×3^1×23^1

1495=5×13×23=5^1×13^1×23^1

1620=2×2×5×3×3×3×3=2^2×5^1×3^4

Since 5^1 i.e.5 is the only common factor in all the numbers 5 is the hcf of 1380,1495 and 1620.

hope it will help u