Greatest Common Factor of 4089/67, 4631/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4089/67, 4631/984

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 4089/67,4631/984

Given fractions are 4089/67,4631/984

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 4089,4631

Greatest Common Factor of Numerators i.e. GCF of 4089,4631 is 1 .

LCM of Denominators means LCM of 67,984 as per the given fractions.

LCM of 67,984 is 65928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4089,4631

GCF of Fractions 4089/67,4631/984 is 1/65928

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

Greatest Common Factor of 4089,4631 By Matching Biggest Common Factor Method

Greatest Common Factor of 4089,4631 By Matching Biggest Common Factor Method

Factors of 4089

List of positive integer factors of 4089 that divides 4089 without a remainder.

1,3,29,47,87,141,1363,4089

Factors of 4631

List of positive integer factors of 4631 that divides 4631 without a remainder.

1,11,421,4631

Greatest Common Factor

We found the factors 4089,4631 . The biggest common factor number is the GCF number.
So the greatest common factor 4089,4631 is 1.

Lets's calculate LCM of 67,984

Given numbers has no common factors except 1. So, there LCM is their product i.e 65928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65928

Therefore, the GCF of Fractions 4089/67,4631/984 is 1/65928

Least Common Multiple of 67,984 with GCF Formula

Least Common Multiple of 67,984 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 67,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,984) = 1

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

GCF(67,984) x common factors =1 x 1 = 1

LCM(67,984) = ( 67 × 984 ) / 1

LCM(67,984) = 65928 / 1

LCM(67,984) = 65928


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 4089/67, 4631/984

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 4089/67, 4631/984?

Answer: GCF of Numerators as per given numbers 4089/67, 4631/984 is

GCF of Numerators i.e. for 4089,4631 is 1

LCM of denominators i.e. for 67,984 is 65928.

Thus, GCF of Fractions is 1/65928.Finally, GCF of Fractions for 4089/67, 4631/984 is 1/65928.