Greatest Common Factor of 787/747, 8034/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 787/747, 8034/302

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 787/747,8034/302

Given fractions are 787/747,8034/302

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 787,8034

Greatest Common Factor of Numerators i.e. GCF of 787,8034 is 1 .

LCM of Denominators means LCM of 747,302 as per the given fractions.

LCM of 747,302 is 225594 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 787,8034

GCF of Fractions 787/747,8034/302 is 1/225594

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 787,8034 By Matching Biggest Common Factor Method

Greatest Common Factor of 787,8034 By Matching Biggest Common Factor Method

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 8034

List of positive integer factors of 8034 that divides 8034 without a remainder.

1,2,3,6,13,26,39,78,103,206,309,618,1339,2678,4017,8034

Greatest Common Factor

We found the factors 787,8034 . The biggest common factor number is the GCF number.
So the greatest common factor 787,8034 is 1.

Lets's calculate LCM of 747,302

Given numbers has no common factors except 1. So, there LCM is their product i.e 225594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/225594

Therefore, the GCF of Fractions 787/747,8034/302 is 1/225594

Least Common Multiple of 747,302 with GCF Formula

Least Common Multiple of 747,302 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 747,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,302) = 1

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

GCF(747,302) x common factors =1 x 1 = 1

LCM(747,302) = ( 747 × 302 ) / 1

LCM(747,302) = 225594 / 1

LCM(747,302) = 225594


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 787/747, 8034/302

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 787/747, 8034/302?

Answer: GCF of Numerators as per given numbers 787/747, 8034/302 is

GCF of Numerators i.e. for 787,8034 is 1

LCM of denominators i.e. for 747,302 is 225594.

Thus, GCF of Fractions is 1/225594.Finally, GCF of Fractions for 787/747, 8034/302 is 1/225594.