Greatest Common Factor of 6955/34, 8955/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6955/34, 8955/269

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 6955/34,8955/269

Given fractions are 6955/34,8955/269

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 6955,8955

Greatest Common Factor of Numerators i.e. GCF of 6955,8955 is 5 .

LCM of Denominators means LCM of 34,269 as per the given fractions.

LCM of 34,269 is 9146 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6955,8955

GCF of Fractions 6955/34,8955/269 is 5/9146

5 6955, 8955
1391, 1791

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

Greatest Common Factor of 6955,8955 By Matching Biggest Common Factor Method

Greatest Common Factor of 6955,8955 By Matching Biggest Common Factor Method

Factors of 6955

List of positive integer factors of 6955 that divides 6955 without a remainder.

1,5,13,65,107,535,1391,6955

Factors of 8955

List of positive integer factors of 8955 that divides 8955 without a remainder.

1,3,5,9,15,45,199,597,995,1791,2985,8955

Greatest Common Factor

We found the factors 6955,8955 . The biggest common factor number is the GCF number.
So the greatest common factor 6955,8955 is 5.

Lets's calculate LCM of 34,269

Given numbers has no common factors except 1. So, there LCM is their product i.e 9146

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/9146

Therefore, the GCF of Fractions 6955/34,8955/269 is 5/9146

Least Common Multiple of 34,269 with GCF Formula

Least Common Multiple of 34,269 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 34,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,269) = 1

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

GCF(34,269) x common factors =1 x 1 = 1

LCM(34,269) = ( 34 × 269 ) / 1

LCM(34,269) = 9146 / 1

LCM(34,269) = 9146


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 6955/34, 8955/269

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 6955/34, 8955/269?

Answer: GCF of Numerators as per given numbers 6955/34, 8955/269 is

GCF of Numerators i.e. for 6955,8955 is 5

LCM of denominators i.e. for 34,269 is 9146.

Thus, GCF of Fractions is 5/9146.Finally, GCF of Fractions for 6955/34, 8955/269 is 5/9146.