Greatest Common Factor of 7126/169, 8558/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7126/169, 8558/202

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 7126/169,8558/202

Given fractions are 7126/169,8558/202

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 7126,8558

Greatest Common Factor of Numerators i.e. GCF of 7126,8558 is 2 .

LCM of Denominators means LCM of 169,202 as per the given fractions.

LCM of 169,202 is 34138 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7126,8558

GCF of Fractions 7126/169,8558/202 is 2/34138

2 7126, 8558
3563, 4279

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

Greatest Common Factor of 7126,8558 By Matching Biggest Common Factor Method

Greatest Common Factor of 7126,8558 By Matching Biggest Common Factor Method

Factors of 7126

List of positive integer factors of 7126 that divides 7126 without a remainder.

1,2,7,14,509,1018,3563,7126

Factors of 8558

List of positive integer factors of 8558 that divides 8558 without a remainder.

1,2,11,22,389,778,4279,8558

Greatest Common Factor

We found the factors 7126,8558 . The biggest common factor number is the GCF number.
So the greatest common factor 7126,8558 is 2.

Lets's calculate LCM of 169,202

Given numbers has no common factors except 1. So, there LCM is their product i.e 34138

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34138

Therefore, the GCF of Fractions 7126/169,8558/202 is 2/34138

Least Common Multiple of 169,202 with GCF Formula

Least Common Multiple of 169,202 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 169,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,202) = 1

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

GCF(169,202) x common factors =1 x 1 = 1

LCM(169,202) = ( 169 × 202 ) / 1

LCM(169,202) = 34138 / 1

LCM(169,202) = 34138


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 7126/169, 8558/202

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 7126/169, 8558/202?

Answer: GCF of Numerators as per given numbers 7126/169, 8558/202 is

GCF of Numerators i.e. for 7126,8558 is 2

LCM of denominators i.e. for 169,202 is 34138.

Thus, GCF of Fractions is 2/34138.Finally, GCF of Fractions for 7126/169, 8558/202 is 2/34138.