Greatest Common Factor of 5716/941, 3186/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5716/941, 3186/780

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 5716/941,3186/780

Given fractions are 5716/941,3186/780

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 5716,3186

Greatest Common Factor of Numerators i.e. GCF of 5716,3186 is 2 .

LCM of Denominators means LCM of 941,780 as per the given fractions.

LCM of 941,780 is 733980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5716,3186

GCF of Fractions 5716/941,3186/780 is 2/733980

2 5716, 3186
2858, 1593

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

Greatest Common Factor of 5716,3186 By Matching Biggest Common Factor Method

Greatest Common Factor of 5716,3186 By Matching Biggest Common Factor Method

Factors of 5716

List of positive integer factors of 5716 that divides 5716 without a remainder.

1,2,4,1429,2858,5716

Factors of 3186

List of positive integer factors of 3186 that divides 3186 without a remainder.

1,2,3,6,9,18,27,54,59,118,177,354,531,1062,1593,3186

Greatest Common Factor

We found the factors 5716,3186 . The biggest common factor number is the GCF number.
So the greatest common factor 5716,3186 is 2.

Lets's calculate LCM of 941,780

Given numbers has no common factors except 1. So, there LCM is their product i.e 733980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/733980

Therefore, the GCF of Fractions 5716/941,3186/780 is 2/733980

Least Common Multiple of 941,780 with GCF Formula

Least Common Multiple of 941,780 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 941,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(941,780) = 1

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

GCF(941,780) x common factors =1 x 1 = 1

LCM(941,780) = ( 941 × 780 ) / 1

LCM(941,780) = 733980 / 1

LCM(941,780) = 733980


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 5716/941, 3186/780

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 5716/941, 3186/780?

Answer: GCF of Numerators as per given numbers 5716/941, 3186/780 is

GCF of Numerators i.e. for 5716,3186 is 2

LCM of denominators i.e. for 941,780 is 733980.

Thus, GCF of Fractions is 2/733980.Finally, GCF of Fractions for 5716/941, 3186/780 is 2/733980.