Greatest Common Factor of 614/276, 5931/3492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 614/276, 5931/3492

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 614/276,5931/3492

Given fractions are 614/276,5931/3492

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 614,5931

Greatest Common Factor of Numerators i.e. GCF of 614,5931 is 1 .

LCM of Denominators means LCM of 276,3492 as per the given fractions.

LCM of 276,3492 is 80316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 614,5931

GCF of Fractions 614/276,5931/3492 is 1/80316

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

Greatest Common Factor of 614,5931 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,5931 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 5931

List of positive integer factors of 5931 that divides 5931 without a remainder.

1,3,9,659,1977,5931

Greatest Common Factor

We found the factors 614,5931 . The biggest common factor number is the GCF number.
So the greatest common factor 614,5931 is 1.

Lets's calculate LCM of 276,3492

2 276, 3492
2 138, 1746
3 69, 873
23, 291

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 291 = 80316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80316

Therefore, the GCF of Fractions 614/276,5931/3492 is 1/80316

Least Common Multiple of 276,3492 with GCF Formula

Least Common Multiple of 276,3492 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 276,3492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,3492) = 12

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

GCF(276,3492) x common factors =12 x 1 = 12

LCM(276,3492) = ( 276 × 3492 ) / 12

LCM(276,3492) = 963792 / 12

LCM(276,3492) = 80316


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 614/276, 5931/3492

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 614/276, 5931/3492?

Answer: GCF of Numerators as per given numbers 614/276, 5931/3492 is

GCF of Numerators i.e. for 614,5931 is 1

LCM of denominators i.e. for 276,3492 is 80316.

Thus, GCF of Fractions is 1/80316.Finally, GCF of Fractions for 614/276, 5931/3492 is 1/80316.