Greatest Common Factor of 50/21, 70/343, 306/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 50/21, 70/343, 306/944

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 50/21,70/343,306/944

Given fractions are 50/21,70/343,306/944

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 50,70,306

Greatest Common Factor of Numerators i.e. GCF of 50,70,306 is 2 .

LCM of Denominators means LCM of 21,343,944 as per the given fractions.

LCM of 21,343,944 is 971376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 50,70,306

GCF of Fractions 50/21,70/343,306/944 is 2/971376

2 50, 70, 306
25, 35, 153

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 50,70,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,70,306 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 50,70,306 . The biggest common factor number is the GCF number.
So the greatest common factor 50,70,306 is 2.

Lets's calculate LCM of 21,343,944

7 21, 343, 944
3, 49, 944

∴ So the LCM of the given numbers is 7 x 3 x 49 x 944 = 971376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/971376

Therefore, the GCF of Fractions 50/21,70/343,306/944 is 2/971376

Least Common Multiple of 21,343,944 with GCF Formula

Least Common Multiple of 21,343,944 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 21,343,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,343,944) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(21,343,944) x common factors =1 x 7 = 7

LCM(21,343,944) = ( 21 × 343 × 944 ) / 7

LCM(21,343,944) = 6799632 / 7

LCM(21,343,944) = 971376


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 50/21, 70/343, 306/944

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 50/21, 70/343, 306/944?

Answer: GCF of Numerators as per given numbers 50/21, 70/343, 306/944 is

GCF of Numerators i.e. for 50,70,306 is 2

LCM of denominators i.e. for 21,343,944 is 971376.

Thus, GCF of Fractions is 2/971376.Finally, GCF of Fractions for 50/21, 70/343, 306/944 is 2/971376.