Greatest Common Factor of 5982/645, 4402/5312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5982/645, 4402/5312

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 5982/645,4402/5312

Given fractions are 5982/645,4402/5312

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 5982,4402

Greatest Common Factor of Numerators i.e. GCF of 5982,4402 is 2 .

LCM of Denominators means LCM of 645,5312 as per the given fractions.

LCM of 645,5312 is 3426240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5982,4402

GCF of Fractions 5982/645,4402/5312 is 2/3426240

2 5982, 4402
2991, 2201

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5982,4402 By Matching Biggest Common Factor Method

Greatest Common Factor of 5982,4402 By Matching Biggest Common Factor Method

Factors of 5982

List of positive integer factors of 5982 that divides 5982 without a remainder.

1,2,3,6,997,1994,2991,5982

Factors of 4402

List of positive integer factors of 4402 that divides 4402 without a remainder.

1,2,31,62,71,142,2201,4402

Greatest Common Factor

We found the factors 5982,4402 . The biggest common factor number is the GCF number.
So the greatest common factor 5982,4402 is 2.

Lets's calculate LCM of 645,5312

Given numbers has no common factors except 1. So, there LCM is their product i.e 3426240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3426240

Therefore, the GCF of Fractions 5982/645,4402/5312 is 2/3426240

Least Common Multiple of 645,5312 with GCF Formula

Least Common Multiple of 645,5312 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 645,5312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,5312) = 1

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

GCF(645,5312) x common factors =1 x 1 = 1

LCM(645,5312) = ( 645 × 5312 ) / 1

LCM(645,5312) = 3426240 / 1

LCM(645,5312) = 3426240


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 5982/645, 4402/5312

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 5982/645, 4402/5312?

Answer: GCF of Numerators as per given numbers 5982/645, 4402/5312 is

GCF of Numerators i.e. for 5982,4402 is 2

LCM of denominators i.e. for 645,5312 is 3426240.

Thus, GCF of Fractions is 2/3426240.Finally, GCF of Fractions for 5982/645, 4402/5312 is 2/3426240.