Greatest Common Factor of 7627/83, 5441/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7627/83, 5441/218

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 7627/83,5441/218

Given fractions are 7627/83,5441/218

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 7627,5441

Greatest Common Factor of Numerators i.e. GCF of 7627,5441 is 1 .

LCM of Denominators means LCM of 83,218 as per the given fractions.

LCM of 83,218 is 18094 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7627,5441

GCF of Fractions 7627/83,5441/218 is 1/18094

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

Greatest Common Factor of 7627,5441 By Matching Biggest Common Factor Method

Greatest Common Factor of 7627,5441 By Matching Biggest Common Factor Method

Factors of 7627

List of positive integer factors of 7627 that divides 7627 without a remainder.

1,29,263,7627

Factors of 5441

List of positive integer factors of 5441 that divides 5441 without a remainder.

1,5441

Greatest Common Factor

We found the factors 7627,5441 . The biggest common factor number is the GCF number.
So the greatest common factor 7627,5441 is 1.

Lets's calculate LCM of 83,218

Given numbers has no common factors except 1. So, there LCM is their product i.e 18094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18094

Therefore, the GCF of Fractions 7627/83,5441/218 is 1/18094

Least Common Multiple of 83,218 with GCF Formula

Least Common Multiple of 83,218 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 83,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,218) = 1

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

GCF(83,218) x common factors =1 x 1 = 1

LCM(83,218) = ( 83 × 218 ) / 1

LCM(83,218) = 18094 / 1

LCM(83,218) = 18094


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 7627/83, 5441/218

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 7627/83, 5441/218?

Answer: GCF of Numerators as per given numbers 7627/83, 5441/218 is

GCF of Numerators i.e. for 7627,5441 is 1

LCM of denominators i.e. for 83,218 is 18094.

Thus, GCF of Fractions is 1/18094.Finally, GCF of Fractions for 7627/83, 5441/218 is 1/18094.