Greatest Common Factor of 7790/605, 3560/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7790/605, 3560/874

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 7790/605,3560/874

Given fractions are 7790/605,3560/874

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 7790,3560

Greatest Common Factor of Numerators i.e. GCF of 7790,3560 is 10 .

LCM of Denominators means LCM of 605,874 as per the given fractions.

LCM of 605,874 is 528770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7790,3560

GCF of Fractions 7790/605,3560/874 is 10/528770

2 7790, 3560
5 3895, 1780
779, 356

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

Greatest Common Factor of 7790,3560 By Matching Biggest Common Factor Method

Greatest Common Factor of 7790,3560 By Matching Biggest Common Factor Method

Factors of 7790

List of positive integer factors of 7790 that divides 7790 without a remainder.

1,2,5,10,19,38,41,82,95,190,205,410,779,1558,3895,7790

Factors of 3560

List of positive integer factors of 3560 that divides 3560 without a remainder.

1,2,4,5,8,10,20,40,89,178,356,445,712,890,1780,3560

Greatest Common Factor

We found the factors 7790,3560 . The biggest common factor number is the GCF number.
So the greatest common factor 7790,3560 is 10.

Lets's calculate LCM of 605,874

Given numbers has no common factors except 1. So, there LCM is their product i.e 528770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/528770

Therefore, the GCF of Fractions 7790/605,3560/874 is 10/528770

Least Common Multiple of 605,874 with GCF Formula

Least Common Multiple of 605,874 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 605,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,874) = 1

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

GCF(605,874) x common factors =1 x 1 = 1

LCM(605,874) = ( 605 × 874 ) / 1

LCM(605,874) = 528770 / 1

LCM(605,874) = 528770


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 7790/605, 3560/874

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 7790/605, 3560/874?

Answer: GCF of Numerators as per given numbers 7790/605, 3560/874 is

GCF of Numerators i.e. for 7790,3560 is 10

LCM of denominators i.e. for 605,874 is 528770.

Thus, GCF of Fractions is 10/528770.Finally, GCF of Fractions for 7790/605, 3560/874 is 10/528770.