Greatest Common Factor of 856/50, 725/50, 911/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 856/50, 725/50, 911/556

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 856/50,725/50,911/556

Given fractions are 856/50,725/50,911/556

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 856,725,911

Greatest Common Factor of Numerators i.e. GCF of 856,725,911 is 1 .

LCM of Denominators means LCM of 50,50,556 as per the given fractions.

LCM of 50,50,556 is 13900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 856,725,911

GCF of Fractions 856/50,725/50,911/556 is 1/13900

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

Greatest Common Factor of 856,725,911 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,725,911 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Greatest Common Factor

We found the factors 856,725,911 . The biggest common factor number is the GCF number.
So the greatest common factor 856,725,911 is 1.

Lets's calculate LCM of 50,50,556

2 50, 50, 556
5 25, 25, 278
5 5, 5, 278
1, 1, 278

∴ So the LCM of the given numbers is 2 x 5 x 5 x 1 x 1 x 278 = 13900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13900

Therefore, the GCF of Fractions 856/50,725/50,911/556 is 1/13900

Least Common Multiple of 50,50,556 with GCF Formula

Least Common Multiple of 50,50,556 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 50,50,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,50,556) = 2

common factors(in case of two or more numbers have common factors) = 50

GCF(50,50,556) x common factors =2 x 50 = 100

LCM(50,50,556) = ( 50 × 50 × 556 ) / 100

LCM(50,50,556) = 1390000 / 100

LCM(50,50,556) = 13900


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 856/50, 725/50, 911/556

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 856/50, 725/50, 911/556?

Answer: GCF of Numerators as per given numbers 856/50, 725/50, 911/556 is

GCF of Numerators i.e. for 856,725,911 is 1

LCM of denominators i.e. for 50,50,556 is 13900.

Thus, GCF of Fractions is 1/13900.Finally, GCF of Fractions for 856/50, 725/50, 911/556 is 1/13900.