Greatest Common Factor of 895/5724, 760/9740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 895/5724, 760/9740

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 895/5724,760/9740

Given fractions are 895/5724,760/9740

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 895,760

Greatest Common Factor of Numerators i.e. GCF of 895,760 is 5 .

LCM of Denominators means LCM of 5724,9740 as per the given fractions.

LCM of 5724,9740 is 13937940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 895,760

GCF of Fractions 895/5724,760/9740 is 5/13937940

5 895, 760
179, 152

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 895,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,760 By Matching Biggest Common Factor Method

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 895,760 . The biggest common factor number is the GCF number.
So the greatest common factor 895,760 is 5.

Lets's calculate LCM of 5724,9740

2 5724, 9740
2 2862, 4870
1431, 2435

∴ So the LCM of the given numbers is 2 x 2 x 1431 x 2435 = 13937940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/13937940

Therefore, the GCF of Fractions 895/5724,760/9740 is 5/13937940

Least Common Multiple of 5724,9740 with GCF Formula

Least Common Multiple of 5724,9740 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 5724,9740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5724,9740) = 4

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

GCF(5724,9740) x common factors =4 x 1 = 4

LCM(5724,9740) = ( 5724 × 9740 ) / 4

LCM(5724,9740) = 55751760 / 4

LCM(5724,9740) = 13937940


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 895/5724, 760/9740

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 895/5724, 760/9740?

Answer: GCF of Numerators as per given numbers 895/5724, 760/9740 is

GCF of Numerators i.e. for 895,760 is 5

LCM of denominators i.e. for 5724,9740 is 13937940.

Thus, GCF of Fractions is 5/13937940.Finally, GCF of Fractions for 895/5724, 760/9740 is 5/13937940.