Greatest Common Factor of 7678/99, 5042/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7678/99, 5042/316

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 7678/99,5042/316

Given fractions are 7678/99,5042/316

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 7678,5042

Greatest Common Factor of Numerators i.e. GCF of 7678,5042 is 2 .

LCM of Denominators means LCM of 99,316 as per the given fractions.

LCM of 99,316 is 31284 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7678,5042

GCF of Fractions 7678/99,5042/316 is 2/31284

2 7678, 5042
3839, 2521

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

Greatest Common Factor of 7678,5042 By Matching Biggest Common Factor Method

Greatest Common Factor of 7678,5042 By Matching Biggest Common Factor Method

Factors of 7678

List of positive integer factors of 7678 that divides 7678 without a remainder.

1,2,11,22,349,698,3839,7678

Factors of 5042

List of positive integer factors of 5042 that divides 5042 without a remainder.

1,2,2521,5042

Greatest Common Factor

We found the factors 7678,5042 . The biggest common factor number is the GCF number.
So the greatest common factor 7678,5042 is 2.

Lets's calculate LCM of 99,316

Given numbers has no common factors except 1. So, there LCM is their product i.e 31284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31284

Therefore, the GCF of Fractions 7678/99,5042/316 is 2/31284

Least Common Multiple of 99,316 with GCF Formula

Least Common Multiple of 99,316 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 99,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,316) = 1

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

GCF(99,316) x common factors =1 x 1 = 1

LCM(99,316) = ( 99 × 316 ) / 1

LCM(99,316) = 31284 / 1

LCM(99,316) = 31284


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 7678/99, 5042/316

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 7678/99, 5042/316?

Answer: GCF of Numerators as per given numbers 7678/99, 5042/316 is

GCF of Numerators i.e. for 7678,5042 is 2

LCM of denominators i.e. for 99,316 is 31284.

Thus, GCF of Fractions is 2/31284.Finally, GCF of Fractions for 7678/99, 5042/316 is 2/31284.