Greatest Common Factor of 460/312, 2774/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 460/312, 2774/532

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 460/312,2774/532

Given fractions are 460/312,2774/532

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 460,2774

Greatest Common Factor of Numerators i.e. GCF of 460,2774 is 2 .

LCM of Denominators means LCM of 312,532 as per the given fractions.

LCM of 312,532 is 41496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 460,2774

GCF of Fractions 460/312,2774/532 is 2/41496

2 460, 2774
230, 1387

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

Greatest Common Factor of 460,2774 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,2774 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 2774

List of positive integer factors of 2774 that divides 2774 without a remainder.

1,2,19,38,73,146,1387,2774

Greatest Common Factor

We found the factors 460,2774 . The biggest common factor number is the GCF number.
So the greatest common factor 460,2774 is 2.

Lets's calculate LCM of 312,532

2 312, 532
2 156, 266
78, 133

∴ So the LCM of the given numbers is 2 x 2 x 78 x 133 = 41496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41496

Therefore, the GCF of Fractions 460/312,2774/532 is 2/41496

Least Common Multiple of 312,532 with GCF Formula

Least Common Multiple of 312,532 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 312,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,532) = 4

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

GCF(312,532) x common factors =4 x 1 = 4

LCM(312,532) = ( 312 × 532 ) / 4

LCM(312,532) = 165984 / 4

LCM(312,532) = 41496


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 460/312, 2774/532

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 460/312, 2774/532?

Answer: GCF of Numerators as per given numbers 460/312, 2774/532 is

GCF of Numerators i.e. for 460,2774 is 2

LCM of denominators i.e. for 312,532 is 41496.

Thus, GCF of Fractions is 2/41496.Finally, GCF of Fractions for 460/312, 2774/532 is 2/41496.