Greatest Common Factor of 6143/222, 7425/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6143/222, 7425/276

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 6143/222,7425/276

Given fractions are 6143/222,7425/276

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 6143,7425

Greatest Common Factor of Numerators i.e. GCF of 6143,7425 is 1 .

LCM of Denominators means LCM of 222,276 as per the given fractions.

LCM of 222,276 is 10212 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6143,7425

GCF of Fractions 6143/222,7425/276 is 1/10212

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

Greatest Common Factor of 6143,7425 By Matching Biggest Common Factor Method

Greatest Common Factor of 6143,7425 By Matching Biggest Common Factor Method

Factors of 6143

List of positive integer factors of 6143 that divides 6143 without a remainder.

1,6143

Factors of 7425

List of positive integer factors of 7425 that divides 7425 without a remainder.

1,3,5,9,11,15,25,27,33,45,55,75,99,135,165,225,275,297,495,675,825,1485,2475,7425

Greatest Common Factor

We found the factors 6143,7425 . The biggest common factor number is the GCF number.
So the greatest common factor 6143,7425 is 1.

Lets's calculate LCM of 222,276

2 222, 276
3 111, 138
37, 46

∴ So the LCM of the given numbers is 2 x 3 x 37 x 46 = 10212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10212

Therefore, the GCF of Fractions 6143/222,7425/276 is 1/10212

Least Common Multiple of 222,276 with GCF Formula

Least Common Multiple of 222,276 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 222,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,276) = 6

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

GCF(222,276) x common factors =6 x 1 = 6

LCM(222,276) = ( 222 × 276 ) / 6

LCM(222,276) = 61272 / 6

LCM(222,276) = 10212


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 6143/222, 7425/276

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 6143/222, 7425/276?

Answer: GCF of Numerators as per given numbers 6143/222, 7425/276 is

GCF of Numerators i.e. for 6143,7425 is 1

LCM of denominators i.e. for 222,276 is 10212.

Thus, GCF of Fractions is 1/10212.Finally, GCF of Fractions for 6143/222, 7425/276 is 1/10212.