Greatest Common Factor of 704/17, 215/3951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 704/17, 215/3951

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 704/17,215/3951

Given fractions are 704/17,215/3951

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 704,215

Greatest Common Factor of Numerators i.e. GCF of 704,215 is 1 .

LCM of Denominators means LCM of 17,3951 as per the given fractions.

LCM of 17,3951 is 67167 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 704,215

GCF of Fractions 704/17,215/3951 is 1/67167

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

Greatest Common Factor of 704,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,215 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 704,215 . The biggest common factor number is the GCF number.
So the greatest common factor 704,215 is 1.

Lets's calculate LCM of 17,3951

Given numbers has no common factors except 1. So, there LCM is their product i.e 67167

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67167

Therefore, the GCF of Fractions 704/17,215/3951 is 1/67167

Least Common Multiple of 17,3951 with GCF Formula

Least Common Multiple of 17,3951 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 17,3951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,3951) = 1

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

GCF(17,3951) x common factors =1 x 1 = 1

LCM(17,3951) = ( 17 × 3951 ) / 1

LCM(17,3951) = 67167 / 1

LCM(17,3951) = 67167


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 704/17, 215/3951

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 704/17, 215/3951?

Answer: GCF of Numerators as per given numbers 704/17, 215/3951 is

GCF of Numerators i.e. for 704,215 is 1

LCM of denominators i.e. for 17,3951 is 67167.

Thus, GCF of Fractions is 1/67167.Finally, GCF of Fractions for 704/17, 215/3951 is 1/67167.