Greatest Common Factor of 9034/529, 7672/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9034/529, 7672/492

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 9034/529,7672/492

Given fractions are 9034/529,7672/492

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 9034,7672

Greatest Common Factor of Numerators i.e. GCF of 9034,7672 is 2 .

LCM of Denominators means LCM of 529,492 as per the given fractions.

LCM of 529,492 is 260268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9034,7672

GCF of Fractions 9034/529,7672/492 is 2/260268

2 9034, 7672
4517, 3836

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

Greatest Common Factor of 9034,7672 By Matching Biggest Common Factor Method

Greatest Common Factor of 9034,7672 By Matching Biggest Common Factor Method

Factors of 9034

List of positive integer factors of 9034 that divides 9034 without a remainder.

1,2,4517,9034

Factors of 7672

List of positive integer factors of 7672 that divides 7672 without a remainder.

1,2,4,7,8,14,28,56,137,274,548,959,1096,1918,3836,7672

Greatest Common Factor

We found the factors 9034,7672 . The biggest common factor number is the GCF number.
So the greatest common factor 9034,7672 is 2.

Lets's calculate LCM of 529,492

Given numbers has no common factors except 1. So, there LCM is their product i.e 260268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/260268

Therefore, the GCF of Fractions 9034/529,7672/492 is 2/260268

Least Common Multiple of 529,492 with GCF Formula

Least Common Multiple of 529,492 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 529,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,492) = 1

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

GCF(529,492) x common factors =1 x 1 = 1

LCM(529,492) = ( 529 × 492 ) / 1

LCM(529,492) = 260268 / 1

LCM(529,492) = 260268


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 9034/529, 7672/492

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 9034/529, 7672/492?

Answer: GCF of Numerators as per given numbers 9034/529, 7672/492 is

GCF of Numerators i.e. for 9034,7672 is 2

LCM of denominators i.e. for 529,492 is 260268.

Thus, GCF of Fractions is 2/260268.Finally, GCF of Fractions for 9034/529, 7672/492 is 2/260268.