Greatest Common Factor of 213/317, 3416/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 213/317, 3416/697

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 213/317,3416/697

Given fractions are 213/317,3416/697

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 213,3416

Greatest Common Factor of Numerators i.e. GCF of 213,3416 is 1 .

LCM of Denominators means LCM of 317,697 as per the given fractions.

LCM of 317,697 is 220949 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 213,3416

GCF of Fractions 213/317,3416/697 is 1/220949

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

Greatest Common Factor of 213,3416 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,3416 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 3416

List of positive integer factors of 3416 that divides 3416 without a remainder.

1,2,4,7,8,14,28,56,61,122,244,427,488,854,1708,3416

Greatest Common Factor

We found the factors 213,3416 . The biggest common factor number is the GCF number.
So the greatest common factor 213,3416 is 1.

Lets's calculate LCM of 317,697

Given numbers has no common factors except 1. So, there LCM is their product i.e 220949

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220949

Therefore, the GCF of Fractions 213/317,3416/697 is 1/220949

Least Common Multiple of 317,697 with GCF Formula

Least Common Multiple of 317,697 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 317,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,697) = 1

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

GCF(317,697) x common factors =1 x 1 = 1

LCM(317,697) = ( 317 × 697 ) / 1

LCM(317,697) = 220949 / 1

LCM(317,697) = 220949


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 213/317, 3416/697

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 213/317, 3416/697?

Answer: GCF of Numerators as per given numbers 213/317, 3416/697 is

GCF of Numerators i.e. for 213,3416 is 1

LCM of denominators i.e. for 317,697 is 220949.

Thus, GCF of Fractions is 1/220949.Finally, GCF of Fractions for 213/317, 3416/697 is 1/220949.