Greatest Common Factor of 786/764, 7278/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 786/764, 7278/599

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 786/764,7278/599

Given fractions are 786/764,7278/599

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 786,7278

Greatest Common Factor of Numerators i.e. GCF of 786,7278 is 6 .

LCM of Denominators means LCM of 764,599 as per the given fractions.

LCM of 764,599 is 457636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 786,7278

GCF of Fractions 786/764,7278/599 is 6/457636

2 786, 7278
3 393, 3639
131, 1213

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 786,7278 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,7278 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 7278

List of positive integer factors of 7278 that divides 7278 without a remainder.

1,2,3,6,1213,2426,3639,7278

Greatest Common Factor

We found the factors 786,7278 . The biggest common factor number is the GCF number.
So the greatest common factor 786,7278 is 6.

Lets's calculate LCM of 764,599

Given numbers has no common factors except 1. So, there LCM is their product i.e 457636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/457636

Therefore, the GCF of Fractions 786/764,7278/599 is 6/457636

Least Common Multiple of 764,599 with GCF Formula

Least Common Multiple of 764,599 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 764,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,599) = 1

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

GCF(764,599) x common factors =1 x 1 = 1

LCM(764,599) = ( 764 × 599 ) / 1

LCM(764,599) = 457636 / 1

LCM(764,599) = 457636


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 786/764, 7278/599

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 786/764, 7278/599?

Answer: GCF of Numerators as per given numbers 786/764, 7278/599 is

GCF of Numerators i.e. for 786,7278 is 6

LCM of denominators i.e. for 764,599 is 457636.

Thus, GCF of Fractions is 6/457636.Finally, GCF of Fractions for 786/764, 7278/599 is 6/457636.