Greatest Common Factor of 3829/528, 9159/8135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3829/528, 9159/8135

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 3829/528,9159/8135

Given fractions are 3829/528,9159/8135

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 3829,9159

Greatest Common Factor of Numerators i.e. GCF of 3829,9159 is 1 .

LCM of Denominators means LCM of 528,8135 as per the given fractions.

LCM of 528,8135 is 4295280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3829,9159

GCF of Fractions 3829/528,9159/8135 is 1/4295280

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

Greatest Common Factor of 3829,9159 By Matching Biggest Common Factor Method

Greatest Common Factor of 3829,9159 By Matching Biggest Common Factor Method

Factors of 3829

List of positive integer factors of 3829 that divides 3829 without a remainder.

1,7,547,3829

Factors of 9159

List of positive integer factors of 9159 that divides 9159 without a remainder.

1,3,43,71,129,213,3053,9159

Greatest Common Factor

We found the factors 3829,9159 . The biggest common factor number is the GCF number.
So the greatest common factor 3829,9159 is 1.

Lets's calculate LCM of 528,8135

Given numbers has no common factors except 1. So, there LCM is their product i.e 4295280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4295280

Therefore, the GCF of Fractions 3829/528,9159/8135 is 1/4295280

Least Common Multiple of 528,8135 with GCF Formula

Least Common Multiple of 528,8135 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 528,8135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,8135) = 1

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

GCF(528,8135) x common factors =1 x 1 = 1

LCM(528,8135) = ( 528 × 8135 ) / 1

LCM(528,8135) = 4295280 / 1

LCM(528,8135) = 4295280


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 3829/528, 9159/8135

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 3829/528, 9159/8135?

Answer: GCF of Numerators as per given numbers 3829/528, 9159/8135 is

GCF of Numerators i.e. for 3829,9159 is 1

LCM of denominators i.e. for 528,8135 is 4295280.

Thus, GCF of Fractions is 1/4295280.Finally, GCF of Fractions for 3829/528, 9159/8135 is 1/4295280.