Greatest Common Factor of 650/72, 906/98, 128/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 650/72, 906/98, 128/528

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 650/72,906/98,128/528

Given fractions are 650/72,906/98,128/528

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 650,906,128

Greatest Common Factor of Numerators i.e. GCF of 650,906,128 is 2 .

LCM of Denominators means LCM of 72,98,528 as per the given fractions.

LCM of 72,98,528 is 77616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 650,906,128

GCF of Fractions 650/72,906/98,128/528 is 2/77616

2 650, 906, 128
325, 453, 64

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 650,906,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 650,906,128 By Matching Biggest Common Factor Method

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 650,906,128 . The biggest common factor number is the GCF number.
So the greatest common factor 650,906,128 is 2.

Lets's calculate LCM of 72,98,528

2 72, 98, 528
2 36, 49, 264
2 18, 49, 132
3 9, 49, 66
3, 49, 22

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 49 x 22 = 77616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/77616

Therefore, the GCF of Fractions 650/72,906/98,128/528 is 2/77616

Least Common Multiple of 72,98,528 with GCF Formula

Least Common Multiple of 72,98,528 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 72,98,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,98,528) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(72,98,528) x common factors =2 x 24 = 48

LCM(72,98,528) = ( 72 × 98 × 528 ) / 48

LCM(72,98,528) = 3725568 / 48

LCM(72,98,528) = 77616


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 650/72, 906/98, 128/528

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 650/72, 906/98, 128/528?

Answer: GCF of Numerators as per given numbers 650/72, 906/98, 128/528 is

GCF of Numerators i.e. for 650,906,128 is 2

LCM of denominators i.e. for 72,98,528 is 77616.

Thus, GCF of Fractions is 2/77616.Finally, GCF of Fractions for 650/72, 906/98, 128/528 is 2/77616.