Greatest Common Factor of 5482/639, 6584/5911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5482/639, 6584/5911

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 5482/639,6584/5911

Given fractions are 5482/639,6584/5911

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 5482,6584

Greatest Common Factor of Numerators i.e. GCF of 5482,6584 is 2 .

LCM of Denominators means LCM of 639,5911 as per the given fractions.

LCM of 639,5911 is 3777129 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5482,6584

GCF of Fractions 5482/639,6584/5911 is 2/3777129

2 5482, 6584
2741, 3292

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

Greatest Common Factor of 5482,6584 By Matching Biggest Common Factor Method

Greatest Common Factor of 5482,6584 By Matching Biggest Common Factor Method

Factors of 5482

List of positive integer factors of 5482 that divides 5482 without a remainder.

1,2,2741,5482

Factors of 6584

List of positive integer factors of 6584 that divides 6584 without a remainder.

1,2,4,8,823,1646,3292,6584

Greatest Common Factor

We found the factors 5482,6584 . The biggest common factor number is the GCF number.
So the greatest common factor 5482,6584 is 2.

Lets's calculate LCM of 639,5911

Given numbers has no common factors except 1. So, there LCM is their product i.e 3777129

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3777129

Therefore, the GCF of Fractions 5482/639,6584/5911 is 2/3777129

Least Common Multiple of 639,5911 with GCF Formula

Least Common Multiple of 639,5911 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 639,5911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(639,5911) = 1

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

GCF(639,5911) x common factors =1 x 1 = 1

LCM(639,5911) = ( 639 × 5911 ) / 1

LCM(639,5911) = 3777129 / 1

LCM(639,5911) = 3777129


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 5482/639, 6584/5911

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 5482/639, 6584/5911?

Answer: GCF of Numerators as per given numbers 5482/639, 6584/5911 is

GCF of Numerators i.e. for 5482,6584 is 2

LCM of denominators i.e. for 639,5911 is 3777129.

Thus, GCF of Fractions is 2/3777129.Finally, GCF of Fractions for 5482/639, 6584/5911 is 2/3777129.