Greatest Common Factor of 5779/357, 7341/7680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5779/357, 7341/7680

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 5779/357,7341/7680

Given fractions are 5779/357,7341/7680

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 5779,7341

Greatest Common Factor of Numerators i.e. GCF of 5779,7341 is 1 .

LCM of Denominators means LCM of 357,7680 as per the given fractions.

LCM of 357,7680 is 913920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5779,7341

GCF of Fractions 5779/357,7341/7680 is 1/913920

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

Greatest Common Factor of 5779,7341 By Matching Biggest Common Factor Method

Greatest Common Factor of 5779,7341 By Matching Biggest Common Factor Method

Factors of 5779

List of positive integer factors of 5779 that divides 5779 without a remainder.

1,5779

Factors of 7341

List of positive integer factors of 7341 that divides 7341 without a remainder.

1,3,2447,7341

Greatest Common Factor

We found the factors 5779,7341 . The biggest common factor number is the GCF number.
So the greatest common factor 5779,7341 is 1.

Lets's calculate LCM of 357,7680

3 357, 7680
119, 2560

∴ So the LCM of the given numbers is 3 x 119 x 2560 = 913920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/913920

Therefore, the GCF of Fractions 5779/357,7341/7680 is 1/913920

Least Common Multiple of 357,7680 with GCF Formula

Least Common Multiple of 357,7680 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 357,7680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,7680) = 3

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

GCF(357,7680) x common factors =3 x 1 = 3

LCM(357,7680) = ( 357 × 7680 ) / 3

LCM(357,7680) = 2741760 / 3

LCM(357,7680) = 913920


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 5779/357, 7341/7680

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 5779/357, 7341/7680?

Answer: GCF of Numerators as per given numbers 5779/357, 7341/7680 is

GCF of Numerators i.e. for 5779,7341 is 1

LCM of denominators i.e. for 357,7680 is 913920.

Thus, GCF of Fractions is 1/913920.Finally, GCF of Fractions for 5779/357, 7341/7680 is 1/913920.