Greatest Common Factor of 5763/49, 8718/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5763/49, 8718/142

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 5763/49,8718/142

Given fractions are 5763/49,8718/142

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 5763,8718

Greatest Common Factor of Numerators i.e. GCF of 5763,8718 is 3 .

LCM of Denominators means LCM of 49,142 as per the given fractions.

LCM of 49,142 is 6958 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5763,8718

GCF of Fractions 5763/49,8718/142 is 3/6958

3 5763, 8718
1921, 2906

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5763,8718 By Matching Biggest Common Factor Method

Greatest Common Factor of 5763,8718 By Matching Biggest Common Factor Method

Factors of 5763

List of positive integer factors of 5763 that divides 5763 without a remainder.

1,3,17,51,113,339,1921,5763

Factors of 8718

List of positive integer factors of 8718 that divides 8718 without a remainder.

1,2,3,6,1453,2906,4359,8718

Greatest Common Factor

We found the factors 5763,8718 . The biggest common factor number is the GCF number.
So the greatest common factor 5763,8718 is 3.

Lets's calculate LCM of 49,142

Given numbers has no common factors except 1. So, there LCM is their product i.e 6958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6958

Therefore, the GCF of Fractions 5763/49,8718/142 is 3/6958

Least Common Multiple of 49,142 with GCF Formula

Least Common Multiple of 49,142 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 49,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,142) = 1

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

GCF(49,142) x common factors =1 x 1 = 1

LCM(49,142) = ( 49 × 142 ) / 1

LCM(49,142) = 6958 / 1

LCM(49,142) = 6958


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 5763/49, 8718/142

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 5763/49, 8718/142?

Answer: GCF of Numerators as per given numbers 5763/49, 8718/142 is

GCF of Numerators i.e. for 5763,8718 is 3

LCM of denominators i.e. for 49,142 is 6958.

Thus, GCF of Fractions is 3/6958.Finally, GCF of Fractions for 5763/49, 8718/142 is 3/6958.