Greatest Common Factor of 237/434, 5370/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 237/434, 5370/446

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 237/434,5370/446

Given fractions are 237/434,5370/446

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 237,5370

Greatest Common Factor of Numerators i.e. GCF of 237,5370 is 3 .

LCM of Denominators means LCM of 434,446 as per the given fractions.

LCM of 434,446 is 96782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 237,5370

GCF of Fractions 237/434,5370/446 is 3/96782

3 237, 5370
79, 1790

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 237,5370 By Matching Biggest Common Factor Method

Greatest Common Factor of 237,5370 By Matching Biggest Common Factor Method

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 5370

List of positive integer factors of 5370 that divides 5370 without a remainder.

1,2,3,5,6,10,15,30,179,358,537,895,1074,1790,2685,5370

Greatest Common Factor

We found the factors 237,5370 . The biggest common factor number is the GCF number.
So the greatest common factor 237,5370 is 3.

Lets's calculate LCM of 434,446

2 434, 446
217, 223

∴ So the LCM of the given numbers is 2 x 217 x 223 = 96782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/96782

Therefore, the GCF of Fractions 237/434,5370/446 is 3/96782

Least Common Multiple of 434,446 with GCF Formula

Least Common Multiple of 434,446 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 434,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,446) = 2

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

GCF(434,446) x common factors =2 x 1 = 2

LCM(434,446) = ( 434 × 446 ) / 2

LCM(434,446) = 193564 / 2

LCM(434,446) = 96782


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 237/434, 5370/446

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 237/434, 5370/446?

Answer: GCF of Numerators as per given numbers 237/434, 5370/446 is

GCF of Numerators i.e. for 237,5370 is 3

LCM of denominators i.e. for 434,446 is 96782.

Thus, GCF of Fractions is 3/96782.Finally, GCF of Fractions for 237/434, 5370/446 is 3/96782.