Greatest Common Factor of 716/61, 849/32, 825/76

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 716/61, 849/32, 825/76

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 716/61,849/32,825/76

Given fractions are 716/61,849/32,825/76

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 716,849,825

Greatest Common Factor of Numerators i.e. GCF of 716,849,825 is 1 .

LCM of Denominators means LCM of 61,32,76 as per the given fractions.

LCM of 61,32,76 is 37088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 716,849,825

GCF of Fractions 716/61,849/32,825/76 is 1/37088

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

Greatest Common Factor of 716,849,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,849,825 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 716,849,825 . The biggest common factor number is the GCF number.
So the greatest common factor 716,849,825 is 1.

Lets's calculate LCM of 61,32,76

2 61, 32, 76
2 61, 16, 38
61, 8, 19

∴ So the LCM of the given numbers is 2 x 2 x 61 x 8 x 19 = 37088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37088

Therefore, the GCF of Fractions 716/61,849/32,825/76 is 1/37088

Least Common Multiple of 61,32,76 with GCF Formula

Least Common Multiple of 61,32,76 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 61,32,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,32,76) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(61,32,76) x common factors =1 x 4 = 4

LCM(61,32,76) = ( 61 × 32 × 76 ) / 4

LCM(61,32,76) = 148352 / 4

LCM(61,32,76) = 37088


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 716/61, 849/32, 825/76

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 716/61, 849/32, 825/76?

Answer: GCF of Numerators as per given numbers 716/61, 849/32, 825/76 is

GCF of Numerators i.e. for 716,849,825 is 1

LCM of denominators i.e. for 61,32,76 is 37088.

Thus, GCF of Fractions is 1/37088.Finally, GCF of Fractions for 716/61, 849/32, 825/76 is 1/37088.