Greatest Common Factor of 6125/108, 3406/5223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6125/108, 3406/5223

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 6125/108,3406/5223

Given fractions are 6125/108,3406/5223

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 6125,3406

Greatest Common Factor of Numerators i.e. GCF of 6125,3406 is 1 .

LCM of Denominators means LCM of 108,5223 as per the given fractions.

LCM of 108,5223 is 188028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6125,3406

GCF of Fractions 6125/108,3406/5223 is 1/188028

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

Greatest Common Factor of 6125,3406 By Matching Biggest Common Factor Method

Greatest Common Factor of 6125,3406 By Matching Biggest Common Factor Method

Factors of 6125

List of positive integer factors of 6125 that divides 6125 without a remainder.

1,5,7,25,35,49,125,175,245,875,1225,6125

Factors of 3406

List of positive integer factors of 3406 that divides 3406 without a remainder.

1,2,13,26,131,262,1703,3406

Greatest Common Factor

We found the factors 6125,3406 . The biggest common factor number is the GCF number.
So the greatest common factor 6125,3406 is 1.

Lets's calculate LCM of 108,5223

3 108, 5223
36, 1741

∴ So the LCM of the given numbers is 3 x 36 x 1741 = 188028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188028

Therefore, the GCF of Fractions 6125/108,3406/5223 is 1/188028

Least Common Multiple of 108,5223 with GCF Formula

Least Common Multiple of 108,5223 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 108,5223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,5223) = 3

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

GCF(108,5223) x common factors =3 x 1 = 3

LCM(108,5223) = ( 108 × 5223 ) / 3

LCM(108,5223) = 564084 / 3

LCM(108,5223) = 188028


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 6125/108, 3406/5223

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 6125/108, 3406/5223?

Answer: GCF of Numerators as per given numbers 6125/108, 3406/5223 is

GCF of Numerators i.e. for 6125,3406 is 1

LCM of denominators i.e. for 108,5223 is 188028.

Thus, GCF of Fractions is 1/188028.Finally, GCF of Fractions for 6125/108, 3406/5223 is 1/188028.