Greatest Common Factor of 772/322, 312/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 772/322, 312/991

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 772/322,312/991

Given fractions are 772/322,312/991

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 772,312

Greatest Common Factor of Numerators i.e. GCF of 772,312 is 4 .

LCM of Denominators means LCM of 322,991 as per the given fractions.

LCM of 322,991 is 319102 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 772,312

GCF of Fractions 772/322,312/991 is 4/319102

2 772, 312
2 386, 156
193, 78

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

Greatest Common Factor of 772,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,312 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 772,312 . The biggest common factor number is the GCF number.
So the greatest common factor 772,312 is 4.

Lets's calculate LCM of 322,991

Given numbers has no common factors except 1. So, there LCM is their product i.e 319102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/319102

Therefore, the GCF of Fractions 772/322,312/991 is 4/319102

Least Common Multiple of 322,991 with GCF Formula

Least Common Multiple of 322,991 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 322,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,991) = 1

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

GCF(322,991) x common factors =1 x 1 = 1

LCM(322,991) = ( 322 × 991 ) / 1

LCM(322,991) = 319102 / 1

LCM(322,991) = 319102


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 772/322, 312/991

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 772/322, 312/991?

Answer: GCF of Numerators as per given numbers 772/322, 312/991 is

GCF of Numerators i.e. for 772,312 is 4

LCM of denominators i.e. for 322,991 is 319102.

Thus, GCF of Fractions is 4/319102.Finally, GCF of Fractions for 772/322, 312/991 is 4/319102.