Greatest Common Factor of 7422/376, 4178/6917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7422/376, 4178/6917

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 7422/376,4178/6917

Given fractions are 7422/376,4178/6917

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 7422,4178

Greatest Common Factor of Numerators i.e. GCF of 7422,4178 is 2 .

LCM of Denominators means LCM of 376,6917 as per the given fractions.

LCM of 376,6917 is 2600792 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7422,4178

GCF of Fractions 7422/376,4178/6917 is 2/2600792

2 7422, 4178
3711, 2089

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

Greatest Common Factor of 7422,4178 By Matching Biggest Common Factor Method

Greatest Common Factor of 7422,4178 By Matching Biggest Common Factor Method

Factors of 7422

List of positive integer factors of 7422 that divides 7422 without a remainder.

1,2,3,6,1237,2474,3711,7422

Factors of 4178

List of positive integer factors of 4178 that divides 4178 without a remainder.

1,2,2089,4178

Greatest Common Factor

We found the factors 7422,4178 . The biggest common factor number is the GCF number.
So the greatest common factor 7422,4178 is 2.

Lets's calculate LCM of 376,6917

Given numbers has no common factors except 1. So, there LCM is their product i.e 2600792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2600792

Therefore, the GCF of Fractions 7422/376,4178/6917 is 2/2600792

Least Common Multiple of 376,6917 with GCF Formula

Least Common Multiple of 376,6917 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 376,6917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,6917) = 1

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

GCF(376,6917) x common factors =1 x 1 = 1

LCM(376,6917) = ( 376 × 6917 ) / 1

LCM(376,6917) = 2600792 / 1

LCM(376,6917) = 2600792


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 7422/376, 4178/6917

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 7422/376, 4178/6917?

Answer: GCF of Numerators as per given numbers 7422/376, 4178/6917 is

GCF of Numerators i.e. for 7422,4178 is 2

LCM of denominators i.e. for 376,6917 is 2600792.

Thus, GCF of Fractions is 2/2600792.Finally, GCF of Fractions for 7422/376, 4178/6917 is 2/2600792.