Greatest Common Factor of 7877/278, 7973/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7877/278, 7973/240

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 7877/278,7973/240

Given fractions are 7877/278,7973/240

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 7877,7973

Greatest Common Factor of Numerators i.e. GCF of 7877,7973 is 1 .

LCM of Denominators means LCM of 278,240 as per the given fractions.

LCM of 278,240 is 33360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7877,7973

GCF of Fractions 7877/278,7973/240 is 1/33360

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

Greatest Common Factor of 7877,7973 By Matching Biggest Common Factor Method

Greatest Common Factor of 7877,7973 By Matching Biggest Common Factor Method

Factors of 7877

List of positive integer factors of 7877 that divides 7877 without a remainder.

1,7877

Factors of 7973

List of positive integer factors of 7973 that divides 7973 without a remainder.

1,7,17,67,119,469,1139,7973

Greatest Common Factor

We found the factors 7877,7973 . The biggest common factor number is the GCF number.
So the greatest common factor 7877,7973 is 1.

Lets's calculate LCM of 278,240

2 278, 240
139, 120

∴ So the LCM of the given numbers is 2 x 139 x 120 = 33360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33360

Therefore, the GCF of Fractions 7877/278,7973/240 is 1/33360

Least Common Multiple of 278,240 with GCF Formula

Least Common Multiple of 278,240 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 278,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,240) = 2

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

GCF(278,240) x common factors =2 x 1 = 2

LCM(278,240) = ( 278 × 240 ) / 2

LCM(278,240) = 66720 / 2

LCM(278,240) = 33360


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 7877/278, 7973/240

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 7877/278, 7973/240?

Answer: GCF of Numerators as per given numbers 7877/278, 7973/240 is

GCF of Numerators i.e. for 7877,7973 is 1

LCM of denominators i.e. for 278,240 is 33360.

Thus, GCF of Fractions is 1/33360.Finally, GCF of Fractions for 7877/278, 7973/240 is 1/33360.