Greatest Common Factor of 7798/253, 3009/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7798/253, 3009/873

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 7798/253,3009/873

Given fractions are 7798/253,3009/873

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 7798,3009

Greatest Common Factor of Numerators i.e. GCF of 7798,3009 is 1 .

LCM of Denominators means LCM of 253,873 as per the given fractions.

LCM of 253,873 is 220869 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7798,3009

GCF of Fractions 7798/253,3009/873 is 1/220869

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7798,3009 By Matching Biggest Common Factor Method

Greatest Common Factor of 7798,3009 By Matching Biggest Common Factor Method

Factors of 7798

List of positive integer factors of 7798 that divides 7798 without a remainder.

1,2,7,14,557,1114,3899,7798

Factors of 3009

List of positive integer factors of 3009 that divides 3009 without a remainder.

1,3,17,51,59,177,1003,3009

Greatest Common Factor

We found the factors 7798,3009 . The biggest common factor number is the GCF number.
So the greatest common factor 7798,3009 is 1.

Lets's calculate LCM of 253,873

Given numbers has no common factors except 1. So, there LCM is their product i.e 220869

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220869

Therefore, the GCF of Fractions 7798/253,3009/873 is 1/220869

Least Common Multiple of 253,873 with GCF Formula

Least Common Multiple of 253,873 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 253,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,873) = 1

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

GCF(253,873) x common factors =1 x 1 = 1

LCM(253,873) = ( 253 × 873 ) / 1

LCM(253,873) = 220869 / 1

LCM(253,873) = 220869


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 7798/253, 3009/873

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 7798/253, 3009/873?

Answer: GCF of Numerators as per given numbers 7798/253, 3009/873 is

GCF of Numerators i.e. for 7798,3009 is 1

LCM of denominators i.e. for 253,873 is 220869.

Thus, GCF of Fractions is 1/220869.Finally, GCF of Fractions for 7798/253, 3009/873 is 1/220869.