Greatest Common Factor of 412/316, 343/921, 261/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 412/316, 343/921, 261/613

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 412/316,343/921,261/613

Given fractions are 412/316,343/921,261/613

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 412,343,261

Greatest Common Factor of Numerators i.e. GCF of 412,343,261 is 1 .

LCM of Denominators means LCM of 316,921,613 as per the given fractions.

LCM of 316,921,613 is 178405068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 412,343,261

GCF of Fractions 412/316,343/921,261/613 is 1/178405068

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

Greatest Common Factor of 412,343,261 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,343,261 By Matching Biggest Common Factor Method

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Greatest Common Factor

We found the factors 412,343,261 . The biggest common factor number is the GCF number.
So the greatest common factor 412,343,261 is 1.

Lets's calculate LCM of 316,921,613

Given numbers has no common factors except 1. So, there LCM is their product i.e 178405068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178405068

Therefore, the GCF of Fractions 412/316,343/921,261/613 is 1/178405068

Least Common Multiple of 316,921,613 with GCF Formula

Least Common Multiple of 316,921,613 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 316,921,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,921,613) = 1

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

GCF(316,921,613) x common factors =1 x 1 = 1

LCM(316,921,613) = ( 316 × 921 × 613 ) / 1

LCM(316,921,613) = 178405068 / 1

LCM(316,921,613) = 178405068


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 412/316, 343/921, 261/613

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 412/316, 343/921, 261/613?

Answer: GCF of Numerators as per given numbers 412/316, 343/921, 261/613 is

GCF of Numerators i.e. for 412,343,261 is 1

LCM of denominators i.e. for 316,921,613 is 178405068.

Thus, GCF of Fractions is 1/178405068.Finally, GCF of Fractions for 412/316, 343/921, 261/613 is 1/178405068.