Greatest Common Factor of 2927/600, 4757/1864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2927/600, 4757/1864

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 2927/600,4757/1864

Given fractions are 2927/600,4757/1864

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 2927,4757

Greatest Common Factor of Numerators i.e. GCF of 2927,4757 is 1 .

LCM of Denominators means LCM of 600,1864 as per the given fractions.

LCM of 600,1864 is 139800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2927,4757

GCF of Fractions 2927/600,4757/1864 is 1/139800

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

Greatest Common Factor of 2927,4757 By Matching Biggest Common Factor Method

Greatest Common Factor of 2927,4757 By Matching Biggest Common Factor Method

Factors of 2927

List of positive integer factors of 2927 that divides 2927 without a remainder.

1,2927

Factors of 4757

List of positive integer factors of 4757 that divides 4757 without a remainder.

1,67,71,4757

Greatest Common Factor

We found the factors 2927,4757 . The biggest common factor number is the GCF number.
So the greatest common factor 2927,4757 is 1.

Lets's calculate LCM of 600,1864

2 600, 1864
2 300, 932
2 150, 466
75, 233

∴ So the LCM of the given numbers is 2 x 2 x 2 x 75 x 233 = 139800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139800

Therefore, the GCF of Fractions 2927/600,4757/1864 is 1/139800

Least Common Multiple of 600,1864 with GCF Formula

Least Common Multiple of 600,1864 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 600,1864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,1864) = 8

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

GCF(600,1864) x common factors =8 x 1 = 8

LCM(600,1864) = ( 600 × 1864 ) / 8

LCM(600,1864) = 1118400 / 8

LCM(600,1864) = 139800


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 2927/600, 4757/1864

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 2927/600, 4757/1864?

Answer: GCF of Numerators as per given numbers 2927/600, 4757/1864 is

GCF of Numerators i.e. for 2927,4757 is 1

LCM of denominators i.e. for 600,1864 is 139800.

Thus, GCF of Fractions is 1/139800.Finally, GCF of Fractions for 2927/600, 4757/1864 is 1/139800.