Greatest Common Factor of 7174/698, 4218/5272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7174/698, 4218/5272

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 7174/698,4218/5272

Given fractions are 7174/698,4218/5272

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 7174,4218

Greatest Common Factor of Numerators i.e. GCF of 7174,4218 is 2 .

LCM of Denominators means LCM of 698,5272 as per the given fractions.

LCM of 698,5272 is 1839928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7174,4218

GCF of Fractions 7174/698,4218/5272 is 2/1839928

2 7174, 4218
3587, 2109

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

Greatest Common Factor of 7174,4218 By Matching Biggest Common Factor Method

Greatest Common Factor of 7174,4218 By Matching Biggest Common Factor Method

Factors of 7174

List of positive integer factors of 7174 that divides 7174 without a remainder.

1,2,17,34,211,422,3587,7174

Factors of 4218

List of positive integer factors of 4218 that divides 4218 without a remainder.

1,2,3,6,19,37,38,57,74,111,114,222,703,1406,2109,4218

Greatest Common Factor

We found the factors 7174,4218 . The biggest common factor number is the GCF number.
So the greatest common factor 7174,4218 is 2.

Lets's calculate LCM of 698,5272

2 698, 5272
349, 2636

∴ So the LCM of the given numbers is 2 x 349 x 2636 = 1839928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1839928

Therefore, the GCF of Fractions 7174/698,4218/5272 is 2/1839928

Least Common Multiple of 698,5272 with GCF Formula

Least Common Multiple of 698,5272 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 698,5272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,5272) = 2

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

GCF(698,5272) x common factors =2 x 1 = 2

LCM(698,5272) = ( 698 × 5272 ) / 2

LCM(698,5272) = 3679856 / 2

LCM(698,5272) = 1839928


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 7174/698, 4218/5272

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 7174/698, 4218/5272?

Answer: GCF of Numerators as per given numbers 7174/698, 4218/5272 is

GCF of Numerators i.e. for 7174,4218 is 2

LCM of denominators i.e. for 698,5272 is 1839928.

Thus, GCF of Fractions is 2/1839928.Finally, GCF of Fractions for 7174/698, 4218/5272 is 2/1839928.