Greatest Common Factor of 671/282, 212/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 671/282, 212/341

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 671/282,212/341

Given fractions are 671/282,212/341

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 671,212

Greatest Common Factor of Numerators i.e. GCF of 671,212 is 1 .

LCM of Denominators means LCM of 282,341 as per the given fractions.

LCM of 282,341 is 96162 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 671,212

GCF of Fractions 671/282,212/341 is 1/96162

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

Greatest Common Factor of 671,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 671,212 By Matching Biggest Common Factor Method

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Greatest Common Factor

We found the factors 671,212 . The biggest common factor number is the GCF number.
So the greatest common factor 671,212 is 1.

Lets's calculate LCM of 282,341

Given numbers has no common factors except 1. So, there LCM is their product i.e 96162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96162

Therefore, the GCF of Fractions 671/282,212/341 is 1/96162

Least Common Multiple of 282,341 with GCF Formula

Least Common Multiple of 282,341 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 282,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,341) = 1

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

GCF(282,341) x common factors =1 x 1 = 1

LCM(282,341) = ( 282 × 341 ) / 1

LCM(282,341) = 96162 / 1

LCM(282,341) = 96162


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 671/282, 212/341

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 671/282, 212/341?

Answer: GCF of Numerators as per given numbers 671/282, 212/341 is

GCF of Numerators i.e. for 671,212 is 1

LCM of denominators i.e. for 282,341 is 96162.

Thus, GCF of Fractions is 1/96162.Finally, GCF of Fractions for 671/282, 212/341 is 1/96162.