Greatest Common Factor of 5767/413, 7142/7307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5767/413, 7142/7307

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 5767/413,7142/7307

Given fractions are 5767/413,7142/7307

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 5767,7142

Greatest Common Factor of Numerators i.e. GCF of 5767,7142 is 1 .

LCM of Denominators means LCM of 413,7307 as per the given fractions.

LCM of 413,7307 is 3017791 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5767,7142

GCF of Fractions 5767/413,7142/7307 is 1/3017791

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5767,7142 By Matching Biggest Common Factor Method

Greatest Common Factor of 5767,7142 By Matching Biggest Common Factor Method

Factors of 5767

List of positive integer factors of 5767 that divides 5767 without a remainder.

1,73,79,5767

Factors of 7142

List of positive integer factors of 7142 that divides 7142 without a remainder.

1,2,3571,7142

Greatest Common Factor

We found the factors 5767,7142 . The biggest common factor number is the GCF number.
So the greatest common factor 5767,7142 is 1.

Lets's calculate LCM of 413,7307

Given numbers has no common factors except 1. So, there LCM is their product i.e 3017791

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3017791

Therefore, the GCF of Fractions 5767/413,7142/7307 is 1/3017791

Least Common Multiple of 413,7307 with GCF Formula

Least Common Multiple of 413,7307 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 413,7307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,7307) = 1

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

GCF(413,7307) x common factors =1 x 1 = 1

LCM(413,7307) = ( 413 × 7307 ) / 1

LCM(413,7307) = 3017791 / 1

LCM(413,7307) = 3017791


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 5767/413, 7142/7307

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 5767/413, 7142/7307?

Answer: GCF of Numerators as per given numbers 5767/413, 7142/7307 is

GCF of Numerators i.e. for 5767,7142 is 1

LCM of denominators i.e. for 413,7307 is 3017791.

Thus, GCF of Fractions is 1/3017791.Finally, GCF of Fractions for 5767/413, 7142/7307 is 1/3017791.