Greatest Common Factor of 5781/624, 2719/5740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5781/624, 2719/5740

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 5781/624,2719/5740

Given fractions are 5781/624,2719/5740

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 5781,2719

Greatest Common Factor of Numerators i.e. GCF of 5781,2719 is 1 .

LCM of Denominators means LCM of 624,5740 as per the given fractions.

LCM of 624,5740 is 895440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5781,2719

GCF of Fractions 5781/624,2719/5740 is 1/895440

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

Greatest Common Factor of 5781,2719 By Matching Biggest Common Factor Method

Greatest Common Factor of 5781,2719 By Matching Biggest Common Factor Method

Factors of 5781

List of positive integer factors of 5781 that divides 5781 without a remainder.

1,3,41,47,123,141,1927,5781

Factors of 2719

List of positive integer factors of 2719 that divides 2719 without a remainder.

1,2719

Greatest Common Factor

We found the factors 5781,2719 . The biggest common factor number is the GCF number.
So the greatest common factor 5781,2719 is 1.

Lets's calculate LCM of 624,5740

2 624, 5740
2 312, 2870
156, 1435

∴ So the LCM of the given numbers is 2 x 2 x 156 x 1435 = 895440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/895440

Therefore, the GCF of Fractions 5781/624,2719/5740 is 1/895440

Least Common Multiple of 624,5740 with GCF Formula

Least Common Multiple of 624,5740 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 624,5740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,5740) = 4

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

GCF(624,5740) x common factors =4 x 1 = 4

LCM(624,5740) = ( 624 × 5740 ) / 4

LCM(624,5740) = 3581760 / 4

LCM(624,5740) = 895440


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 5781/624, 2719/5740

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 5781/624, 2719/5740?

Answer: GCF of Numerators as per given numbers 5781/624, 2719/5740 is

GCF of Numerators i.e. for 5781,2719 is 1

LCM of denominators i.e. for 624,5740 is 895440.

Thus, GCF of Fractions is 1/895440.Finally, GCF of Fractions for 5781/624, 2719/5740 is 1/895440.