Question

find the HCF and LCM of 275, 225, 175 applying Fundamental theorem of Arithmetic method..

. stepwise, detailed answer
. as quick as possible

Answer 1

Hey !!

Here is your answer...

275 = 5 × 5 × 11 = 5^2 × 11
225 = 5 × 5 × 3 × 3 = 5^2 × 3^2
175 = 5 × 5 × 7 = 5^2 × 7

H.C.F = 5^2
H.C.F = 25

L.C.M = 5^2 × 11 × 3^2 × 7
L.C.M = 17325

Hope it helps you...

Thanks. ^-^

Answer 2

Given 275,225,175.

275 = 5 * 5 * 11

        = 5^2 * 11


225 = 3 * 3 * 5 * 5

        = 3^2 * 5^2


175 = 5 * 5 * 7

       = 5^2 * 7.


LCM = 3^2 * 5^2 * 7 * 11

         = 17325.


HCF = 5^2

         = 25.


Hope this helps!