Greatest Common Factor of 9100/70, 9590/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9100/70, 9590/723

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 9100/70,9590/723

Given fractions are 9100/70,9590/723

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 9100,9590

Greatest Common Factor of Numerators i.e. GCF of 9100,9590 is 70 .

LCM of Denominators means LCM of 70,723 as per the given fractions.

LCM of 70,723 is 50610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9100,9590

GCF of Fractions 9100/70,9590/723 is 70/50610

2 9100, 9590
5 4550, 4795
7 910, 959
130, 137

∴ So the GCF of the given numbers is 2 x 5 x 7 = 70

Greatest Common Factor of 9100,9590 By Matching Biggest Common Factor Method

Greatest Common Factor of 9100,9590 By Matching Biggest Common Factor Method

Factors of 9100

List of positive integer factors of 9100 that divides 9100 without a remainder.

1,2,4,5,7,10,13,14,20,25,26,28,35,50,52,65,70,91,100,130,140,175,182,260,325,350,364,455,650,700,910,1300,1820,2275,4550,9100

Factors of 9590

List of positive integer factors of 9590 that divides 9590 without a remainder.

1,2,5,7,10,14,35,70,137,274,685,959,1370,1918,4795,9590

Greatest Common Factor

We found the factors 9100,9590 . The biggest common factor number is the GCF number.
So the greatest common factor 9100,9590 is 70.

Lets's calculate LCM of 70,723

Given numbers has no common factors except 1. So, there LCM is their product i.e 50610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 70/50610

Therefore, the GCF of Fractions 9100/70,9590/723 is 70/50610

Least Common Multiple of 70,723 with GCF Formula

Least Common Multiple of 70,723 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 70,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,723) = 1

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

GCF(70,723) x common factors =1 x 1 = 1

LCM(70,723) = ( 70 × 723 ) / 1

LCM(70,723) = 50610 / 1

LCM(70,723) = 50610


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 9100/70, 9590/723

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 9100/70, 9590/723?

Answer: GCF of Numerators as per given numbers 9100/70, 9590/723 is

GCF of Numerators i.e. for 9100,9590 is 70

LCM of denominators i.e. for 70,723 is 50610.

Thus, GCF of Fractions is 70/50610.Finally, GCF of Fractions for 9100/70, 9590/723 is 70/50610.