Greatest Common Factor of 9251/55, 3025/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9251/55, 3025/269

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 9251/55,3025/269

Given fractions are 9251/55,3025/269

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 9251,3025

Greatest Common Factor of Numerators i.e. GCF of 9251,3025 is 11 .

LCM of Denominators means LCM of 55,269 as per the given fractions.

LCM of 55,269 is 14795 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9251,3025

GCF of Fractions 9251/55,3025/269 is 11/14795

11 9251, 3025
841, 275

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 9251,3025 By Matching Biggest Common Factor Method

Greatest Common Factor of 9251,3025 By Matching Biggest Common Factor Method

Factors of 9251

List of positive integer factors of 9251 that divides 9251 without a remainder.

1,11,29,319,841,9251

Factors of 3025

List of positive integer factors of 3025 that divides 3025 without a remainder.

1,5,11,25,55,121,275,605,3025

Greatest Common Factor

We found the factors 9251,3025 . The biggest common factor number is the GCF number.
So the greatest common factor 9251,3025 is 11.

Lets's calculate LCM of 55,269

Given numbers has no common factors except 1. So, there LCM is their product i.e 14795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/14795

Therefore, the GCF of Fractions 9251/55,3025/269 is 11/14795

Least Common Multiple of 55,269 with GCF Formula

Least Common Multiple of 55,269 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 55,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,269) = 1

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

GCF(55,269) x common factors =1 x 1 = 1

LCM(55,269) = ( 55 × 269 ) / 1

LCM(55,269) = 14795 / 1

LCM(55,269) = 14795


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 9251/55, 3025/269

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 9251/55, 3025/269?

Answer: GCF of Numerators as per given numbers 9251/55, 3025/269 is

GCF of Numerators i.e. for 9251,3025 is 11

LCM of denominators i.e. for 55,269 is 14795.

Thus, GCF of Fractions is 11/14795.Finally, GCF of Fractions for 9251/55, 3025/269 is 11/14795.