Greatest Common Factor of 2940/71, 3790/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2940/71, 3790/569

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 2940/71,3790/569

Given fractions are 2940/71,3790/569

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 2940,3790

Greatest Common Factor of Numerators i.e. GCF of 2940,3790 is 10 .

LCM of Denominators means LCM of 71,569 as per the given fractions.

LCM of 71,569 is 40399 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2940,3790

GCF of Fractions 2940/71,3790/569 is 10/40399

2 2940, 3790
5 1470, 1895
294, 379

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 2940,3790 By Matching Biggest Common Factor Method

Greatest Common Factor of 2940,3790 By Matching Biggest Common Factor Method

Factors of 2940

List of positive integer factors of 2940 that divides 2940 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,49,60,70,84,98,105,140,147,196,210,245,294,420,490,588,735,980,1470,2940

Factors of 3790

List of positive integer factors of 3790 that divides 3790 without a remainder.

1,2,5,10,379,758,1895,3790

Greatest Common Factor

We found the factors 2940,3790 . The biggest common factor number is the GCF number.
So the greatest common factor 2940,3790 is 10.

Lets's calculate LCM of 71,569

Given numbers has no common factors except 1. So, there LCM is their product i.e 40399

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/40399

Therefore, the GCF of Fractions 2940/71,3790/569 is 10/40399

Least Common Multiple of 71,569 with GCF Formula

Least Common Multiple of 71,569 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 71,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,569) = 1

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

GCF(71,569) x common factors =1 x 1 = 1

LCM(71,569) = ( 71 × 569 ) / 1

LCM(71,569) = 40399 / 1

LCM(71,569) = 40399


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 2940/71, 3790/569

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 2940/71, 3790/569?

Answer: GCF of Numerators as per given numbers 2940/71, 3790/569 is

GCF of Numerators i.e. for 2940,3790 is 10

LCM of denominators i.e. for 71,569 is 40399.

Thus, GCF of Fractions is 10/40399.Finally, GCF of Fractions for 2940/71, 3790/569 is 10/40399.