Question

Find the hcf of 2028,3200,6288 by Euclid division algorithm

Answer 1

hey!!

here is your answer >>>

2028 : (2)(1014)

=> (2)(2)(507)

=> (2)(2)(3)(169)

=> (2)(2)(3)(13)(13)

3200 : (2)(1600)

=> (2)(2)(800)

=> (2)(2)(2)(400)

=> (2)(2)(2)(2)(200)

=> (2)(2)(2)(2)(2)(100)

=> (2)(2)(2)(2)(2)(2)(50)

=> (2)(2)(2)(2)(2)(2)(2)(25)

=> (2)(2)(2)(2)(2)(2)(2)(5)(5)


6288: (2)(3144)

=> (2)(2)(1522)

=> (2)(2)(2)(761)

common factors:-

(2)(2)

hcf is 4!

hope my answer helps✌️

Euclid division is for two numbers