Greatest Common Factor of 9580/478, 9668/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9580/478, 9668/767

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 9580/478,9668/767

Given fractions are 9580/478,9668/767

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 9580,9668

Greatest Common Factor of Numerators i.e. GCF of 9580,9668 is 4 .

LCM of Denominators means LCM of 478,767 as per the given fractions.

LCM of 478,767 is 366626 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9580,9668

GCF of Fractions 9580/478,9668/767 is 4/366626

2 9580, 9668
2 4790, 4834
2395, 2417

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

Greatest Common Factor of 9580,9668 By Matching Biggest Common Factor Method

Greatest Common Factor of 9580,9668 By Matching Biggest Common Factor Method

Factors of 9580

List of positive integer factors of 9580 that divides 9580 without a remainder.

1,2,4,5,10,20,479,958,1916,2395,4790,9580

Factors of 9668

List of positive integer factors of 9668 that divides 9668 without a remainder.

1,2,4,2417,4834,9668

Greatest Common Factor

We found the factors 9580,9668 . The biggest common factor number is the GCF number.
So the greatest common factor 9580,9668 is 4.

Lets's calculate LCM of 478,767

Given numbers has no common factors except 1. So, there LCM is their product i.e 366626

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/366626

Therefore, the GCF of Fractions 9580/478,9668/767 is 4/366626

Least Common Multiple of 478,767 with GCF Formula

Least Common Multiple of 478,767 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 478,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,767) = 1

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

GCF(478,767) x common factors =1 x 1 = 1

LCM(478,767) = ( 478 × 767 ) / 1

LCM(478,767) = 366626 / 1

LCM(478,767) = 366626


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 9580/478, 9668/767

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 9580/478, 9668/767?

Answer: GCF of Numerators as per given numbers 9580/478, 9668/767 is

GCF of Numerators i.e. for 9580,9668 is 4

LCM of denominators i.e. for 478,767 is 366626.

Thus, GCF of Fractions is 4/366626.Finally, GCF of Fractions for 9580/478, 9668/767 is 4/366626.