Greatest Common Factor of 2253/438, 6301/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2253/438, 6301/748

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 2253/438,6301/748

Given fractions are 2253/438,6301/748

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 2253,6301

Greatest Common Factor of Numerators i.e. GCF of 2253,6301 is 1 .

LCM of Denominators means LCM of 438,748 as per the given fractions.

LCM of 438,748 is 163812 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2253,6301

GCF of Fractions 2253/438,6301/748 is 1/163812

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

Greatest Common Factor of 2253,6301 By Matching Biggest Common Factor Method

Greatest Common Factor of 2253,6301 By Matching Biggest Common Factor Method

Factors of 2253

List of positive integer factors of 2253 that divides 2253 without a remainder.

1,3,751,2253

Factors of 6301

List of positive integer factors of 6301 that divides 6301 without a remainder.

1,6301

Greatest Common Factor

We found the factors 2253,6301 . The biggest common factor number is the GCF number.
So the greatest common factor 2253,6301 is 1.

Lets's calculate LCM of 438,748

2 438, 748
219, 374

∴ So the LCM of the given numbers is 2 x 219 x 374 = 163812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163812

Therefore, the GCF of Fractions 2253/438,6301/748 is 1/163812

Least Common Multiple of 438,748 with GCF Formula

Least Common Multiple of 438,748 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 438,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,748) = 2

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

GCF(438,748) x common factors =2 x 1 = 2

LCM(438,748) = ( 438 × 748 ) / 2

LCM(438,748) = 327624 / 2

LCM(438,748) = 163812


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 2253/438, 6301/748

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 2253/438, 6301/748?

Answer: GCF of Numerators as per given numbers 2253/438, 6301/748 is

GCF of Numerators i.e. for 2253,6301 is 1

LCM of denominators i.e. for 438,748 is 163812.

Thus, GCF of Fractions is 1/163812.Finally, GCF of Fractions for 2253/438, 6301/748 is 1/163812.