Greatest Common Factor of 234/744, 3422/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 234/744, 3422/516

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 234/744,3422/516

Given fractions are 234/744,3422/516

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 234,3422

Greatest Common Factor of Numerators i.e. GCF of 234,3422 is 2 .

LCM of Denominators means LCM of 744,516 as per the given fractions.

LCM of 744,516 is 31992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 234,3422

GCF of Fractions 234/744,3422/516 is 2/31992

2 234, 3422
117, 1711

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

Greatest Common Factor of 234,3422 By Matching Biggest Common Factor Method

Greatest Common Factor of 234,3422 By Matching Biggest Common Factor Method

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 3422

List of positive integer factors of 3422 that divides 3422 without a remainder.

1,2,29,58,59,118,1711,3422

Greatest Common Factor

We found the factors 234,3422 . The biggest common factor number is the GCF number.
So the greatest common factor 234,3422 is 2.

Lets's calculate LCM of 744,516

2 744, 516
2 372, 258
3 186, 129
62, 43

∴ So the LCM of the given numbers is 2 x 2 x 3 x 62 x 43 = 31992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31992

Therefore, the GCF of Fractions 234/744,3422/516 is 2/31992

Least Common Multiple of 744,516 with GCF Formula

Least Common Multiple of 744,516 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 744,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,516) = 12

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

GCF(744,516) x common factors =12 x 1 = 12

LCM(744,516) = ( 744 × 516 ) / 12

LCM(744,516) = 383904 / 12

LCM(744,516) = 31992


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 234/744, 3422/516

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 234/744, 3422/516?

Answer: GCF of Numerators as per given numbers 234/744, 3422/516 is

GCF of Numerators i.e. for 234,3422 is 2

LCM of denominators i.e. for 744,516 is 31992.

Thus, GCF of Fractions is 2/31992.Finally, GCF of Fractions for 234/744, 3422/516 is 2/31992.