Greatest Common Factor of 756/29, 785/9331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 756/29, 785/9331

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 756/29,785/9331

Given fractions are 756/29,785/9331

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 756,785

Greatest Common Factor of Numerators i.e. GCF of 756,785 is 1 .

LCM of Denominators means LCM of 29,9331 as per the given fractions.

LCM of 29,9331 is 270599 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 756,785

GCF of Fractions 756/29,785/9331 is 1/270599

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

Greatest Common Factor of 756,785 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,785 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Greatest Common Factor

We found the factors 756,785 . The biggest common factor number is the GCF number.
So the greatest common factor 756,785 is 1.

Lets's calculate LCM of 29,9331

Given numbers has no common factors except 1. So, there LCM is their product i.e 270599

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/270599

Therefore, the GCF of Fractions 756/29,785/9331 is 1/270599

Least Common Multiple of 29,9331 with GCF Formula

Least Common Multiple of 29,9331 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 29,9331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,9331) = 1

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

GCF(29,9331) x common factors =1 x 1 = 1

LCM(29,9331) = ( 29 × 9331 ) / 1

LCM(29,9331) = 270599 / 1

LCM(29,9331) = 270599


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 756/29, 785/9331

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 756/29, 785/9331?

Answer: GCF of Numerators as per given numbers 756/29, 785/9331 is

GCF of Numerators i.e. for 756,785 is 1

LCM of denominators i.e. for 29,9331 is 270599.

Thus, GCF of Fractions is 1/270599.Finally, GCF of Fractions for 756/29, 785/9331 is 1/270599.