Greatest Common Factor of 4670/514, 4888/5876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4670/514, 4888/5876

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 4670/514,4888/5876

Given fractions are 4670/514,4888/5876

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 4670,4888

Greatest Common Factor of Numerators i.e. GCF of 4670,4888 is 2 .

LCM of Denominators means LCM of 514,5876 as per the given fractions.

LCM of 514,5876 is 1510132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4670,4888

GCF of Fractions 4670/514,4888/5876 is 2/1510132

2 4670, 4888
2335, 2444

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

Greatest Common Factor of 4670,4888 By Matching Biggest Common Factor Method

Greatest Common Factor of 4670,4888 By Matching Biggest Common Factor Method

Factors of 4670

List of positive integer factors of 4670 that divides 4670 without a remainder.

1,2,5,10,467,934,2335,4670

Factors of 4888

List of positive integer factors of 4888 that divides 4888 without a remainder.

1,2,4,8,13,26,47,52,94,104,188,376,611,1222,2444,4888

Greatest Common Factor

We found the factors 4670,4888 . The biggest common factor number is the GCF number.
So the greatest common factor 4670,4888 is 2.

Lets's calculate LCM of 514,5876

2 514, 5876
257, 2938

∴ So the LCM of the given numbers is 2 x 257 x 2938 = 1510132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1510132

Therefore, the GCF of Fractions 4670/514,4888/5876 is 2/1510132

Least Common Multiple of 514,5876 with GCF Formula

Least Common Multiple of 514,5876 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 514,5876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,5876) = 2

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

GCF(514,5876) x common factors =2 x 1 = 2

LCM(514,5876) = ( 514 × 5876 ) / 2

LCM(514,5876) = 3020264 / 2

LCM(514,5876) = 1510132


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 4670/514, 4888/5876

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 4670/514, 4888/5876?

Answer: GCF of Numerators as per given numbers 4670/514, 4888/5876 is

GCF of Numerators i.e. for 4670,4888 is 2

LCM of denominators i.e. for 514,5876 is 1510132.

Thus, GCF of Fractions is 2/1510132.Finally, GCF of Fractions for 4670/514, 4888/5876 is 2/1510132.