Greatest Common Factor of 7178/74, 8960/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7178/74, 8960/679

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 7178/74,8960/679

Given fractions are 7178/74,8960/679

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 7178,8960

Greatest Common Factor of Numerators i.e. GCF of 7178,8960 is 2 .

LCM of Denominators means LCM of 74,679 as per the given fractions.

LCM of 74,679 is 50246 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7178,8960

GCF of Fractions 7178/74,8960/679 is 2/50246

2 7178, 8960
3589, 4480

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

Greatest Common Factor of 7178,8960 By Matching Biggest Common Factor Method

Greatest Common Factor of 7178,8960 By Matching Biggest Common Factor Method

Factors of 7178

List of positive integer factors of 7178 that divides 7178 without a remainder.

1,2,37,74,97,194,3589,7178

Factors of 8960

List of positive integer factors of 8960 that divides 8960 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,256,280,320,448,560,640,896,1120,1280,1792,2240,4480,8960

Greatest Common Factor

We found the factors 7178,8960 . The biggest common factor number is the GCF number.
So the greatest common factor 7178,8960 is 2.

Lets's calculate LCM of 74,679

Given numbers has no common factors except 1. So, there LCM is their product i.e 50246

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50246

Therefore, the GCF of Fractions 7178/74,8960/679 is 2/50246

Least Common Multiple of 74,679 with GCF Formula

Least Common Multiple of 74,679 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 74,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,679) = 1

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

GCF(74,679) x common factors =1 x 1 = 1

LCM(74,679) = ( 74 × 679 ) / 1

LCM(74,679) = 50246 / 1

LCM(74,679) = 50246


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 7178/74, 8960/679

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 7178/74, 8960/679?

Answer: GCF of Numerators as per given numbers 7178/74, 8960/679 is

GCF of Numerators i.e. for 7178,8960 is 2

LCM of denominators i.e. for 74,679 is 50246.

Thus, GCF of Fractions is 2/50246.Finally, GCF of Fractions for 7178/74, 8960/679 is 2/50246.