Greatest Common Factor of 709/46, 394/37, 291/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 709/46, 394/37, 291/21

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 709/46,394/37,291/21

Given fractions are 709/46,394/37,291/21

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 709,394,291

Greatest Common Factor of Numerators i.e. GCF of 709,394,291 is 1 .

LCM of Denominators means LCM of 46,37,21 as per the given fractions.

LCM of 46,37,21 is 35742 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 709,394,291

GCF of Fractions 709/46,394/37,291/21 is 1/35742

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

Greatest Common Factor of 709,394,291 By Matching Biggest Common Factor Method

Greatest Common Factor of 709,394,291 By Matching Biggest Common Factor Method

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors 709,394,291 . The biggest common factor number is the GCF number.
So the greatest common factor 709,394,291 is 1.

Lets's calculate LCM of 46,37,21

Given numbers has no common factors except 1. So, there LCM is their product i.e 35742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35742

Therefore, the GCF of Fractions 709/46,394/37,291/21 is 1/35742

Least Common Multiple of 46,37,21 with GCF Formula

Least Common Multiple of 46,37,21 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 46,37,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,37,21) = 1

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

GCF(46,37,21) x common factors =1 x 1 = 1

LCM(46,37,21) = ( 46 × 37 × 21 ) / 1

LCM(46,37,21) = 35742 / 1

LCM(46,37,21) = 35742


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 709/46, 394/37, 291/21

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 709/46, 394/37, 291/21?

Answer: GCF of Numerators as per given numbers 709/46, 394/37, 291/21 is

GCF of Numerators i.e. for 709,394,291 is 1

LCM of denominators i.e. for 46,37,21 is 35742.

Thus, GCF of Fractions is 1/35742.Finally, GCF of Fractions for 709/46, 394/37, 291/21 is 1/35742.