Greatest Common Factor of 853/178, 2082/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 853/178, 2082/267

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 853/178,2082/267

Given fractions are 853/178,2082/267

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 853,2082

Greatest Common Factor of Numerators i.e. GCF of 853,2082 is 1 .

LCM of Denominators means LCM of 178,267 as per the given fractions.

LCM of 178,267 is 534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 853,2082

GCF of Fractions 853/178,2082/267 is 1/534

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

Greatest Common Factor of 853,2082 By Matching Biggest Common Factor Method

Greatest Common Factor of 853,2082 By Matching Biggest Common Factor Method

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 2082

List of positive integer factors of 2082 that divides 2082 without a remainder.

1,2,3,6,347,694,1041,2082

Greatest Common Factor

We found the factors 853,2082 . The biggest common factor number is the GCF number.
So the greatest common factor 853,2082 is 1.

Lets's calculate LCM of 178,267

89 178, 267
2, 3

∴ So the LCM of the given numbers is 89 x 2 x 3 = 534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/534

Therefore, the GCF of Fractions 853/178,2082/267 is 1/534

Least Common Multiple of 178,267 with GCF Formula

Least Common Multiple of 178,267 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 178,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,267) = 89

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

GCF(178,267) x common factors =89 x 1 = 89

LCM(178,267) = ( 178 × 267 ) / 89

LCM(178,267) = 47526 / 89

LCM(178,267) = 534


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 853/178, 2082/267

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 853/178, 2082/267?

Answer: GCF of Numerators as per given numbers 853/178, 2082/267 is

GCF of Numerators i.e. for 853,2082 is 1

LCM of denominators i.e. for 178,267 is 534.

Thus, GCF of Fractions is 1/534.Finally, GCF of Fractions for 853/178, 2082/267 is 1/534.