Greatest Common Factor of 9050/126, 8695/6924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9050/126, 8695/6924

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 9050/126,8695/6924

Given fractions are 9050/126,8695/6924

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 9050,8695

Greatest Common Factor of Numerators i.e. GCF of 9050,8695 is 5 .

LCM of Denominators means LCM of 126,6924 as per the given fractions.

LCM of 126,6924 is 145404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9050,8695

GCF of Fractions 9050/126,8695/6924 is 5/145404

5 9050, 8695
1810, 1739

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 9050,8695 By Matching Biggest Common Factor Method

Greatest Common Factor of 9050,8695 By Matching Biggest Common Factor Method

Factors of 9050

List of positive integer factors of 9050 that divides 9050 without a remainder.

1,2,5,10,25,50,181,362,905,1810,4525,9050

Factors of 8695

List of positive integer factors of 8695 that divides 8695 without a remainder.

1,5,37,47,185,235,1739,8695

Greatest Common Factor

We found the factors 9050,8695 . The biggest common factor number is the GCF number.
So the greatest common factor 9050,8695 is 5.

Lets's calculate LCM of 126,6924

2 126, 6924
3 63, 3462
21, 1154

∴ So the LCM of the given numbers is 2 x 3 x 21 x 1154 = 145404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/145404

Therefore, the GCF of Fractions 9050/126,8695/6924 is 5/145404

Least Common Multiple of 126,6924 with GCF Formula

Least Common Multiple of 126,6924 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 126,6924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,6924) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(126,6924) x common factors =6 x 1 = 6

LCM(126,6924) = ( 126 × 6924 ) / 6

LCM(126,6924) = 872424 / 6

LCM(126,6924) = 145404


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 9050/126, 8695/6924

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 9050/126, 8695/6924?

Answer: GCF of Numerators as per given numbers 9050/126, 8695/6924 is

GCF of Numerators i.e. for 9050,8695 is 5

LCM of denominators i.e. for 126,6924 is 145404.

Thus, GCF of Fractions is 5/145404.Finally, GCF of Fractions for 9050/126, 8695/6924 is 5/145404.