Greatest Common Factor of 9500/570, 9244/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9500/570, 9244/731

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 9500/570,9244/731

Given fractions are 9500/570,9244/731

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 9500,9244

Greatest Common Factor of Numerators i.e. GCF of 9500,9244 is 4 .

LCM of Denominators means LCM of 570,731 as per the given fractions.

LCM of 570,731 is 416670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9500,9244

GCF of Fractions 9500/570,9244/731 is 4/416670

2 9500, 9244
2 4750, 4622
2375, 2311

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

Greatest Common Factor of 9500,9244 By Matching Biggest Common Factor Method

Greatest Common Factor of 9500,9244 By Matching Biggest Common Factor Method

Factors of 9500

List of positive integer factors of 9500 that divides 9500 without a remainder.

1,2,4,5,10,19,20,25,38,50,76,95,100,125,190,250,380,475,500,950,1900,2375,4750,9500

Factors of 9244

List of positive integer factors of 9244 that divides 9244 without a remainder.

1,2,4,2311,4622,9244

Greatest Common Factor

We found the factors 9500,9244 . The biggest common factor number is the GCF number.
So the greatest common factor 9500,9244 is 4.

Lets's calculate LCM of 570,731

Given numbers has no common factors except 1. So, there LCM is their product i.e 416670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/416670

Therefore, the GCF of Fractions 9500/570,9244/731 is 4/416670

Least Common Multiple of 570,731 with GCF Formula

Least Common Multiple of 570,731 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 570,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,731) = 1

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

GCF(570,731) x common factors =1 x 1 = 1

LCM(570,731) = ( 570 × 731 ) / 1

LCM(570,731) = 416670 / 1

LCM(570,731) = 416670


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 9500/570, 9244/731

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 9500/570, 9244/731?

Answer: GCF of Numerators as per given numbers 9500/570, 9244/731 is

GCF of Numerators i.e. for 9500,9244 is 4

LCM of denominators i.e. for 570,731 is 416670.

Thus, GCF of Fractions is 4/416670.Finally, GCF of Fractions for 9500/570, 9244/731 is 4/416670.