Greatest Common Factor of 713/116, 825/551, 874/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 713/116, 825/551, 874/656

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 713/116,825/551,874/656

Given fractions are 713/116,825/551,874/656

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 713,825,874

Greatest Common Factor of Numerators i.e. GCF of 713,825,874 is 1 .

LCM of Denominators means LCM of 116,551,656 as per the given fractions.

LCM of 116,551,656 is 361456 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 713,825,874

GCF of Fractions 713/116,825/551,874/656 is 1/361456

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

Greatest Common Factor of 713,825,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,825,874 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

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

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 713,825,874 . The biggest common factor number is the GCF number.
So the greatest common factor 713,825,874 is 1.

Lets's calculate LCM of 116,551,656

2 116, 551, 656
2 58, 551, 328
29 29, 551, 164
1, 19, 164

∴ So the LCM of the given numbers is 2 x 2 x 29 x 1 x 19 x 164 = 361456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/361456

Therefore, the GCF of Fractions 713/116,825/551,874/656 is 1/361456

Least Common Multiple of 116,551,656 with GCF Formula

Least Common Multiple of 116,551,656 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 116,551,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,551,656) = 1

common factors(in case of two or more numbers have common factors) = 116

GCF(116,551,656) x common factors =1 x 116 = 116

LCM(116,551,656) = ( 116 × 551 × 656 ) / 116

LCM(116,551,656) = 41928896 / 116

LCM(116,551,656) = 361456


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 713/116, 825/551, 874/656

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 713/116, 825/551, 874/656?

Answer: GCF of Numerators as per given numbers 713/116, 825/551, 874/656 is

GCF of Numerators i.e. for 713,825,874 is 1

LCM of denominators i.e. for 116,551,656 is 361456.

Thus, GCF of Fractions is 1/361456.Finally, GCF of Fractions for 713/116, 825/551, 874/656 is 1/361456.