Greatest Common Factor of 5314/48, 8502/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5314/48, 8502/311

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 5314/48,8502/311

Given fractions are 5314/48,8502/311

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 5314,8502

Greatest Common Factor of Numerators i.e. GCF of 5314,8502 is 2 .

LCM of Denominators means LCM of 48,311 as per the given fractions.

LCM of 48,311 is 14928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5314,8502

GCF of Fractions 5314/48,8502/311 is 2/14928

2 5314, 8502
2657, 4251

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

Greatest Common Factor of 5314,8502 By Matching Biggest Common Factor Method

Greatest Common Factor of 5314,8502 By Matching Biggest Common Factor Method

Factors of 5314

List of positive integer factors of 5314 that divides 5314 without a remainder.

1,2,2657,5314

Factors of 8502

List of positive integer factors of 8502 that divides 8502 without a remainder.

1,2,3,6,13,26,39,78,109,218,327,654,1417,2834,4251,8502

Greatest Common Factor

We found the factors 5314,8502 . The biggest common factor number is the GCF number.
So the greatest common factor 5314,8502 is 2.

Lets's calculate LCM of 48,311

Given numbers has no common factors except 1. So, there LCM is their product i.e 14928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14928

Therefore, the GCF of Fractions 5314/48,8502/311 is 2/14928

Least Common Multiple of 48,311 with GCF Formula

Least Common Multiple of 48,311 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 48,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,311) = 1

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

GCF(48,311) x common factors =1 x 1 = 1

LCM(48,311) = ( 48 × 311 ) / 1

LCM(48,311) = 14928 / 1

LCM(48,311) = 14928


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 5314/48, 8502/311

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 5314/48, 8502/311?

Answer: GCF of Numerators as per given numbers 5314/48, 8502/311 is

GCF of Numerators i.e. for 5314,8502 is 2

LCM of denominators i.e. for 48,311 is 14928.

Thus, GCF of Fractions is 2/14928.Finally, GCF of Fractions for 5314/48, 8502/311 is 2/14928.