Greatest Common Factor of 1529/32, 8240/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1529/32, 8240/538

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 1529/32,8240/538

Given fractions are 1529/32,8240/538

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 1529,8240

Greatest Common Factor of Numerators i.e. GCF of 1529,8240 is 1 .

LCM of Denominators means LCM of 32,538 as per the given fractions.

LCM of 32,538 is 8608 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1529,8240

GCF of Fractions 1529/32,8240/538 is 1/8608

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

Greatest Common Factor of 1529,8240 By Matching Biggest Common Factor Method

Greatest Common Factor of 1529,8240 By Matching Biggest Common Factor Method

Factors of 1529

List of positive integer factors of 1529 that divides 1529 without a remainder.

1,11,139,1529

Factors of 8240

List of positive integer factors of 8240 that divides 8240 without a remainder.

1,2,4,5,8,10,16,20,40,80,103,206,412,515,824,1030,1648,2060,4120,8240

Greatest Common Factor

We found the factors 1529,8240 . The biggest common factor number is the GCF number.
So the greatest common factor 1529,8240 is 1.

Lets's calculate LCM of 32,538

2 32, 538
16, 269

∴ So the LCM of the given numbers is 2 x 16 x 269 = 8608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8608

Therefore, the GCF of Fractions 1529/32,8240/538 is 1/8608

Least Common Multiple of 32,538 with GCF Formula

Least Common Multiple of 32,538 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 32,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,538) = 2

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

GCF(32,538) x common factors =2 x 1 = 2

LCM(32,538) = ( 32 × 538 ) / 2

LCM(32,538) = 17216 / 2

LCM(32,538) = 8608


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 1529/32, 8240/538

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 1529/32, 8240/538?

Answer: GCF of Numerators as per given numbers 1529/32, 8240/538 is

GCF of Numerators i.e. for 1529,8240 is 1

LCM of denominators i.e. for 32,538 is 8608.

Thus, GCF of Fractions is 1/8608.Finally, GCF of Fractions for 1529/32, 8240/538 is 1/8608.