Greatest Common Factor of 772/756, 438/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 772/756, 438/143

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 772/756,438/143

Given fractions are 772/756,438/143

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 772,438

Greatest Common Factor of Numerators i.e. GCF of 772,438 is 2 .

LCM of Denominators means LCM of 756,143 as per the given fractions.

LCM of 756,143 is 108108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 772,438

GCF of Fractions 772/756,438/143 is 2/108108

2 772, 438
386, 219

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

Greatest Common Factor of 772,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,438 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 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 772,438 . The biggest common factor number is the GCF number.
So the greatest common factor 772,438 is 2.

Lets's calculate LCM of 756,143

Given numbers has no common factors except 1. So, there LCM is their product i.e 108108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/108108

Therefore, the GCF of Fractions 772/756,438/143 is 2/108108

Least Common Multiple of 756,143 with GCF Formula

Least Common Multiple of 756,143 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 756,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,143) = 1

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

GCF(756,143) x common factors =1 x 1 = 1

LCM(756,143) = ( 756 × 143 ) / 1

LCM(756,143) = 108108 / 1

LCM(756,143) = 108108


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 772/756, 438/143

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 772/756, 438/143?

Answer: GCF of Numerators as per given numbers 772/756, 438/143 is

GCF of Numerators i.e. for 772,438 is 2

LCM of denominators i.e. for 756,143 is 108108.

Thus, GCF of Fractions is 2/108108.Finally, GCF of Fractions for 772/756, 438/143 is 2/108108.