Greatest Common Factor of 2753/902, 4322/8018

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 2753/902, 4322/8018

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 2753/902,4322/8018

Given fractions are 2753/902,4322/8018

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 2753,4322

Greatest Common Factor of Numerators i.e. GCF of 2753,4322 is 1 .

LCM of Denominators means LCM of 902,8018 as per the given fractions.

LCM of 902,8018 is 3616118 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2753,4322

GCF of Fractions 2753/902,4322/8018 is 1/3616118

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

Greatest Common Factor of 2753,4322 By Matching Biggest Common Factor Method

Greatest Common Factor of 2753,4322 By Matching Biggest Common Factor Method

Factors of 2753

List of positive integer factors of 2753 that divides 2753 without a remainder.

1,2753

Factors of 4322

List of positive integer factors of 4322 that divides 4322 without a remainder.

1,2,2161,4322

Greatest Common Factor

We found the factors 2753,4322 . The biggest common factor number is the GCF number.
So the greatest common factor 2753,4322 is 1.


Lets's calculate LCM of 902,8018

2 902, 8018
451, 4009

∴ So the LCM of the given numbers is 2 x 451 x 4009 = 3616118

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3616118

Therefore, the GCF of Fractions 2753/902,4322/8018 is 1/3616118

Least Common Multiple of 902,8018 with GCF Formula

Least Common Multiple of 902,8018 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 902,8018 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(902,8018) = 2

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

GCF(902,8018) x common factors =2 x 1 = 2

LCM(902,8018) = ( 902 × 8018 ) / 2

LCM(902,8018) = 7232236 / 2

LCM(902,8018) = 3616118


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 2753/902, 4322/8018

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 2753/902, 4322/8018?

Answer: GCF of Numerators as per given numbers 2753/902, 4322/8018 is

GCF of Numerators i.e. for 2753,4322 is 1

LCM of denominators i.e. for 902,8018 is 3616118.

Thus, GCF of Fractions is 1/3616118.Finally, GCF of Fractions for 2753/902, 4322/8018 is 1/3616118.