Greatest Common Factor of 353/529, 8748/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 353/529, 8748/577

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 353/529,8748/577

Given fractions are 353/529,8748/577

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 353,8748

Greatest Common Factor of Numerators i.e. GCF of 353,8748 is 1 .

LCM of Denominators means LCM of 529,577 as per the given fractions.

LCM of 529,577 is 305233 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 353,8748

GCF of Fractions 353/529,8748/577 is 1/305233

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

Greatest Common Factor of 353,8748 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,8748 By Matching Biggest Common Factor Method

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 8748

List of positive integer factors of 8748 that divides 8748 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,729,972,1458,2187,2916,4374,8748

Greatest Common Factor

We found the factors 353,8748 . The biggest common factor number is the GCF number.
So the greatest common factor 353,8748 is 1.

Lets's calculate LCM of 529,577

Given numbers has no common factors except 1. So, there LCM is their product i.e 305233

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/305233

Therefore, the GCF of Fractions 353/529,8748/577 is 1/305233

Least Common Multiple of 529,577 with GCF Formula

Least Common Multiple of 529,577 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 529,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,577) = 1

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

GCF(529,577) x common factors =1 x 1 = 1

LCM(529,577) = ( 529 × 577 ) / 1

LCM(529,577) = 305233 / 1

LCM(529,577) = 305233


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 353/529, 8748/577

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 353/529, 8748/577?

Answer: GCF of Numerators as per given numbers 353/529, 8748/577 is

GCF of Numerators i.e. for 353,8748 is 1

LCM of denominators i.e. for 529,577 is 305233.

Thus, GCF of Fractions is 1/305233.Finally, GCF of Fractions for 353/529, 8748/577 is 1/305233.