Greatest Common Factor of 901/418, 749/583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 901/418, 749/583

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 901/418,749/583

Given fractions are 901/418,749/583

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 901,749

Greatest Common Factor of Numerators i.e. GCF of 901,749 is 1 .

LCM of Denominators means LCM of 418,583 as per the given fractions.

LCM of 418,583 is 22154 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 901,749

GCF of Fractions 901/418,749/583 is 1/22154

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

Greatest Common Factor of 901,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,749 By Matching Biggest Common Factor Method

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 901,749 . The biggest common factor number is the GCF number.
So the greatest common factor 901,749 is 1.

Lets's calculate LCM of 418,583

11 418, 583
38, 53

∴ So the LCM of the given numbers is 11 x 38 x 53 = 22154

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22154

Therefore, the GCF of Fractions 901/418,749/583 is 1/22154

Least Common Multiple of 418,583 with GCF Formula

Least Common Multiple of 418,583 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 418,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,583) = 11

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

GCF(418,583) x common factors =11 x 1 = 11

LCM(418,583) = ( 418 × 583 ) / 11

LCM(418,583) = 243694 / 11

LCM(418,583) = 22154


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 901/418, 749/583

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 901/418, 749/583?

Answer: GCF of Numerators as per given numbers 901/418, 749/583 is

GCF of Numerators i.e. for 901,749 is 1

LCM of denominators i.e. for 418,583 is 22154.

Thus, GCF of Fractions is 1/22154.Finally, GCF of Fractions for 901/418, 749/583 is 1/22154.