Greatest Common Factor of 21/711, 46/914, 312/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/711, 46/914, 312/594

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 21/711,46/914,312/594

Given fractions are 21/711,46/914,312/594

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 21,46,312

Greatest Common Factor of Numerators i.e. GCF of 21,46,312 is 1 .

LCM of Denominators means LCM of 711,914,594 as per the given fractions.

LCM of 711,914,594 is 21445182 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,46,312

GCF of Fractions 21/711,46/914,312/594 is 1/21445182

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

Greatest Common Factor of 21,46,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,46,312 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 21,46,312 . The biggest common factor number is the GCF number.
So the greatest common factor 21,46,312 is 1.

Lets's calculate LCM of 711,914,594

2 711, 914, 594
3 711, 457, 297
3 237, 457, 99
79, 457, 33

∴ So the LCM of the given numbers is 2 x 3 x 3 x 79 x 457 x 33 = 21445182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21445182

Therefore, the GCF of Fractions 21/711,46/914,312/594 is 1/21445182

Least Common Multiple of 711,914,594 with GCF Formula

Least Common Multiple of 711,914,594 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 711,914,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,914,594) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(711,914,594) x common factors =1 x 18 = 18

LCM(711,914,594) = ( 711 × 914 × 594 ) / 18

LCM(711,914,594) = 386013276 / 18

LCM(711,914,594) = 21445182


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 21/711, 46/914, 312/594

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 21/711, 46/914, 312/594?

Answer: GCF of Numerators as per given numbers 21/711, 46/914, 312/594 is

GCF of Numerators i.e. for 21,46,312 is 1

LCM of denominators i.e. for 711,914,594 is 21445182.

Thus, GCF of Fractions is 1/21445182.Finally, GCF of Fractions for 21/711, 46/914, 312/594 is 1/21445182.