Greatest Common Factor of 1174/498, 2714/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1174/498, 2714/976

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 1174/498,2714/976

Given fractions are 1174/498,2714/976

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 1174,2714

Greatest Common Factor of Numerators i.e. GCF of 1174,2714 is 2 .

LCM of Denominators means LCM of 498,976 as per the given fractions.

LCM of 498,976 is 243024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1174,2714

GCF of Fractions 1174/498,2714/976 is 2/243024

2 1174, 2714
587, 1357

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

Greatest Common Factor of 1174,2714 By Matching Biggest Common Factor Method

Greatest Common Factor of 1174,2714 By Matching Biggest Common Factor Method

Factors of 1174

List of positive integer factors of 1174 that divides 1174 without a remainder.

1,2,587,1174

Factors of 2714

List of positive integer factors of 2714 that divides 2714 without a remainder.

1,2,23,46,59,118,1357,2714

Greatest Common Factor

We found the factors 1174,2714 . The biggest common factor number is the GCF number.
So the greatest common factor 1174,2714 is 2.

Lets's calculate LCM of 498,976

2 498, 976
249, 488

∴ So the LCM of the given numbers is 2 x 249 x 488 = 243024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/243024

Therefore, the GCF of Fractions 1174/498,2714/976 is 2/243024

Least Common Multiple of 498,976 with GCF Formula

Least Common Multiple of 498,976 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 498,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,976) = 2

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

GCF(498,976) x common factors =2 x 1 = 2

LCM(498,976) = ( 498 × 976 ) / 2

LCM(498,976) = 486048 / 2

LCM(498,976) = 243024


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 1174/498, 2714/976

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 1174/498, 2714/976?

Answer: GCF of Numerators as per given numbers 1174/498, 2714/976 is

GCF of Numerators i.e. for 1174,2714 is 2

LCM of denominators i.e. for 498,976 is 243024.

Thus, GCF of Fractions is 2/243024.Finally, GCF of Fractions for 1174/498, 2714/976 is 2/243024.