Greatest Common Factor of 6272/92, 6233/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6272/92, 6233/144

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 6272/92,6233/144

Given fractions are 6272/92,6233/144

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 6272,6233

Greatest Common Factor of Numerators i.e. GCF of 6272,6233 is 1 .

LCM of Denominators means LCM of 92,144 as per the given fractions.

LCM of 92,144 is 3312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6272,6233

GCF of Fractions 6272/92,6233/144 is 1/3312

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

Greatest Common Factor of 6272,6233 By Matching Biggest Common Factor Method

Greatest Common Factor of 6272,6233 By Matching Biggest Common Factor Method

Factors of 6272

List of positive integer factors of 6272 that divides 6272 without a remainder.

1,2,4,7,8,14,16,28,32,49,56,64,98,112,128,196,224,392,448,784,896,1568,3136,6272

Factors of 6233

List of positive integer factors of 6233 that divides 6233 without a remainder.

1,23,271,6233

Greatest Common Factor

We found the factors 6272,6233 . The biggest common factor number is the GCF number.
So the greatest common factor 6272,6233 is 1.

Lets's calculate LCM of 92,144

2 92, 144
2 46, 72
23, 36

∴ So the LCM of the given numbers is 2 x 2 x 23 x 36 = 3312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3312

Therefore, the GCF of Fractions 6272/92,6233/144 is 1/3312

Least Common Multiple of 92,144 with GCF Formula

Least Common Multiple of 92,144 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 92,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,144) = 4

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

GCF(92,144) x common factors =4 x 1 = 4

LCM(92,144) = ( 92 × 144 ) / 4

LCM(92,144) = 13248 / 4

LCM(92,144) = 3312


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 6272/92, 6233/144

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 6272/92, 6233/144?

Answer: GCF of Numerators as per given numbers 6272/92, 6233/144 is

GCF of Numerators i.e. for 6272,6233 is 1

LCM of denominators i.e. for 92,144 is 3312.

Thus, GCF of Fractions is 1/3312.Finally, GCF of Fractions for 6272/92, 6233/144 is 1/3312.