Greatest Common Factor of 9085/757, 6320/5636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9085/757, 6320/5636

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 9085/757,6320/5636

Given fractions are 9085/757,6320/5636

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 9085,6320

Greatest Common Factor of Numerators i.e. GCF of 9085,6320 is 395 .

LCM of Denominators means LCM of 757,5636 as per the given fractions.

LCM of 757,5636 is 4266452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9085,6320

GCF of Fractions 9085/757,6320/5636 is 395/4266452

5 9085, 6320
79 1817, 1264
23, 16

∴ So the GCF of the given numbers is 5 x 79 = 395

Greatest Common Factor of 9085,6320 By Matching Biggest Common Factor Method

Greatest Common Factor of 9085,6320 By Matching Biggest Common Factor Method

Factors of 9085

List of positive integer factors of 9085 that divides 9085 without a remainder.

1,5,23,79,115,395,1817,9085

Factors of 6320

List of positive integer factors of 6320 that divides 6320 without a remainder.

1,2,4,5,8,10,16,20,40,79,80,158,316,395,632,790,1264,1580,3160,6320

Greatest Common Factor

We found the factors 9085,6320 . The biggest common factor number is the GCF number.
So the greatest common factor 9085,6320 is 395.

Lets's calculate LCM of 757,5636

Given numbers has no common factors except 1. So, there LCM is their product i.e 4266452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 395/4266452

Therefore, the GCF of Fractions 9085/757,6320/5636 is 395/4266452

Least Common Multiple of 757,5636 with GCF Formula

Least Common Multiple of 757,5636 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 757,5636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(757,5636) = 1

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

GCF(757,5636) x common factors =1 x 1 = 1

LCM(757,5636) = ( 757 × 5636 ) / 1

LCM(757,5636) = 4266452 / 1

LCM(757,5636) = 4266452


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 9085/757, 6320/5636

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 9085/757, 6320/5636?

Answer: GCF of Numerators as per given numbers 9085/757, 6320/5636 is

GCF of Numerators i.e. for 9085,6320 is 395

LCM of denominators i.e. for 757,5636 is 4266452.

Thus, GCF of Fractions is 395/4266452.Finally, GCF of Fractions for 9085/757, 6320/5636 is 395/4266452.