Greatest Common Factor of 4583/987, 1367/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4583/987, 1367/921

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 4583/987,1367/921

Given fractions are 4583/987,1367/921

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 4583,1367

Greatest Common Factor of Numerators i.e. GCF of 4583,1367 is 1 .

LCM of Denominators means LCM of 987,921 as per the given fractions.

LCM of 987,921 is 303009 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4583,1367

GCF of Fractions 4583/987,1367/921 is 1/303009

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

Greatest Common Factor of 4583,1367 By Matching Biggest Common Factor Method

Greatest Common Factor of 4583,1367 By Matching Biggest Common Factor Method

Factors of 4583

List of positive integer factors of 4583 that divides 4583 without a remainder.

1,4583

Factors of 1367

List of positive integer factors of 1367 that divides 1367 without a remainder.

1,1367

Greatest Common Factor

We found the factors 4583,1367 . The biggest common factor number is the GCF number.
So the greatest common factor 4583,1367 is 1.

Lets's calculate LCM of 987,921

3 987, 921
329, 307

∴ So the LCM of the given numbers is 3 x 329 x 307 = 303009

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/303009

Therefore, the GCF of Fractions 4583/987,1367/921 is 1/303009

Least Common Multiple of 987,921 with GCF Formula

Least Common Multiple of 987,921 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 987,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,921) = 3

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

GCF(987,921) x common factors =3 x 1 = 3

LCM(987,921) = ( 987 × 921 ) / 3

LCM(987,921) = 909027 / 3

LCM(987,921) = 303009


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 4583/987, 1367/921

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 4583/987, 1367/921?

Answer: GCF of Numerators as per given numbers 4583/987, 1367/921 is

GCF of Numerators i.e. for 4583,1367 is 1

LCM of denominators i.e. for 987,921 is 303009.

Thus, GCF of Fractions is 1/303009.Finally, GCF of Fractions for 4583/987, 1367/921 is 1/303009.