Greatest Common Factor of 744/35, 500/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 744/35, 500/856

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 744/35,500/856

Given fractions are 744/35,500/856

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 744,500

Greatest Common Factor of Numerators i.e. GCF of 744,500 is 4 .

LCM of Denominators means LCM of 35,856 as per the given fractions.

LCM of 35,856 is 29960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 744,500

GCF of Fractions 744/35,500/856 is 4/29960

2 744, 500
2 372, 250
186, 125

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 744,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,500 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 744,500 . The biggest common factor number is the GCF number.
So the greatest common factor 744,500 is 4.

Lets's calculate LCM of 35,856

Given numbers has no common factors except 1. So, there LCM is their product i.e 29960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/29960

Therefore, the GCF of Fractions 744/35,500/856 is 4/29960

Least Common Multiple of 35,856 with GCF Formula

Least Common Multiple of 35,856 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 35,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,856) = 1

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

GCF(35,856) x common factors =1 x 1 = 1

LCM(35,856) = ( 35 × 856 ) / 1

LCM(35,856) = 29960 / 1

LCM(35,856) = 29960


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 744/35, 500/856

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 744/35, 500/856?

Answer: GCF of Numerators as per given numbers 744/35, 500/856 is

GCF of Numerators i.e. for 744,500 is 4

LCM of denominators i.e. for 35,856 is 29960.

Thus, GCF of Fractions is 4/29960.Finally, GCF of Fractions for 744/35, 500/856 is 4/29960.