Greatest Common Factor of 316/540, 1078/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 316/540, 1078/874

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 316/540,1078/874

Given fractions are 316/540,1078/874

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 316,1078

Greatest Common Factor of Numerators i.e. GCF of 316,1078 is 2 .

LCM of Denominators means LCM of 540,874 as per the given fractions.

LCM of 540,874 is 235980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 316,1078

GCF of Fractions 316/540,1078/874 is 2/235980

2 316, 1078
158, 539

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

Greatest Common Factor of 316,1078 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,1078 By Matching Biggest Common Factor Method

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 1078

List of positive integer factors of 1078 that divides 1078 without a remainder.

1,2,7,11,14,22,49,77,98,154,539,1078

Greatest Common Factor

We found the factors 316,1078 . The biggest common factor number is the GCF number.
So the greatest common factor 316,1078 is 2.

Lets's calculate LCM of 540,874

2 540, 874
270, 437

∴ So the LCM of the given numbers is 2 x 270 x 437 = 235980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/235980

Therefore, the GCF of Fractions 316/540,1078/874 is 2/235980

Least Common Multiple of 540,874 with GCF Formula

Least Common Multiple of 540,874 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 540,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,874) = 2

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

GCF(540,874) x common factors =2 x 1 = 2

LCM(540,874) = ( 540 × 874 ) / 2

LCM(540,874) = 471960 / 2

LCM(540,874) = 235980


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 316/540, 1078/874

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 316/540, 1078/874?

Answer: GCF of Numerators as per given numbers 316/540, 1078/874 is

GCF of Numerators i.e. for 316,1078 is 2

LCM of denominators i.e. for 540,874 is 235980.

Thus, GCF of Fractions is 2/235980.Finally, GCF of Fractions for 316/540, 1078/874 is 2/235980.