Greatest Common Factor of 6023/132, 3509/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6023/132, 3509/556

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 6023/132,3509/556

Given fractions are 6023/132,3509/556

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 6023,3509

Greatest Common Factor of Numerators i.e. GCF of 6023,3509 is 1 .

LCM of Denominators means LCM of 132,556 as per the given fractions.

LCM of 132,556 is 18348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6023,3509

GCF of Fractions 6023/132,3509/556 is 1/18348

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

Greatest Common Factor of 6023,3509 By Matching Biggest Common Factor Method

Greatest Common Factor of 6023,3509 By Matching Biggest Common Factor Method

Factors of 6023

List of positive integer factors of 6023 that divides 6023 without a remainder.

1,19,317,6023

Factors of 3509

List of positive integer factors of 3509 that divides 3509 without a remainder.

1,11,29,121,319,3509

Greatest Common Factor

We found the factors 6023,3509 . The biggest common factor number is the GCF number.
So the greatest common factor 6023,3509 is 1.

Lets's calculate LCM of 132,556

2 132, 556
2 66, 278
33, 139

∴ So the LCM of the given numbers is 2 x 2 x 33 x 139 = 18348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18348

Therefore, the GCF of Fractions 6023/132,3509/556 is 1/18348

Least Common Multiple of 132,556 with GCF Formula

Least Common Multiple of 132,556 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 132,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,556) = 4

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

GCF(132,556) x common factors =4 x 1 = 4

LCM(132,556) = ( 132 × 556 ) / 4

LCM(132,556) = 73392 / 4

LCM(132,556) = 18348


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 6023/132, 3509/556

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 6023/132, 3509/556?

Answer: GCF of Numerators as per given numbers 6023/132, 3509/556 is

GCF of Numerators i.e. for 6023,3509 is 1

LCM of denominators i.e. for 132,556 is 18348.

Thus, GCF of Fractions is 1/18348.Finally, GCF of Fractions for 6023/132, 3509/556 is 1/18348.