Greatest Common Factor of 32/694, 971/438, 397/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 32/694, 971/438, 397/658

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 32/694,971/438,397/658

Given fractions are 32/694,971/438,397/658

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 32,971,397

Greatest Common Factor of Numerators i.e. GCF of 32,971,397 is 1 .

LCM of Denominators means LCM of 694,438,658 as per the given fractions.

LCM of 694,438,658 is 50003394 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 32,971,397

GCF of Fractions 32/694,971/438,397/658 is 1/50003394

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

Greatest Common Factor of 32,971,397 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,971,397 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Greatest Common Factor

We found the factors 32,971,397 . The biggest common factor number is the GCF number.
So the greatest common factor 32,971,397 is 1.

Lets's calculate LCM of 694,438,658

2 694, 438, 658
347, 219, 329

∴ So the LCM of the given numbers is 2 x 347 x 219 x 329 = 50003394

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50003394

Therefore, the GCF of Fractions 32/694,971/438,397/658 is 1/50003394

Least Common Multiple of 694,438,658 with GCF Formula

Least Common Multiple of 694,438,658 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 694,438,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,438,658) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(694,438,658) x common factors =2 x 2 = 4

LCM(694,438,658) = ( 694 × 438 × 658 ) / 4

LCM(694,438,658) = 200013576 / 4

LCM(694,438,658) = 50003394


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 32/694, 971/438, 397/658

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 32/694, 971/438, 397/658?

Answer: GCF of Numerators as per given numbers 32/694, 971/438, 397/658 is

GCF of Numerators i.e. for 32,971,397 is 1

LCM of denominators i.e. for 694,438,658 is 50003394.

Thus, GCF of Fractions is 1/50003394.Finally, GCF of Fractions for 32/694, 971/438, 397/658 is 1/50003394.