Greatest Common Factor of 7712/436, 4143/2382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7712/436, 4143/2382

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 7712/436,4143/2382

Given fractions are 7712/436,4143/2382

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 7712,4143

Greatest Common Factor of Numerators i.e. GCF of 7712,4143 is 1 .

LCM of Denominators means LCM of 436,2382 as per the given fractions.

LCM of 436,2382 is 519276 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7712,4143

GCF of Fractions 7712/436,4143/2382 is 1/519276

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

Greatest Common Factor of 7712,4143 By Matching Biggest Common Factor Method

Greatest Common Factor of 7712,4143 By Matching Biggest Common Factor Method

Factors of 7712

List of positive integer factors of 7712 that divides 7712 without a remainder.

1,2,4,8,16,32,241,482,964,1928,3856,7712

Factors of 4143

List of positive integer factors of 4143 that divides 4143 without a remainder.

1,3,1381,4143

Greatest Common Factor

We found the factors 7712,4143 . The biggest common factor number is the GCF number.
So the greatest common factor 7712,4143 is 1.

Lets's calculate LCM of 436,2382

2 436, 2382
218, 1191

∴ So the LCM of the given numbers is 2 x 218 x 1191 = 519276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/519276

Therefore, the GCF of Fractions 7712/436,4143/2382 is 1/519276

Least Common Multiple of 436,2382 with GCF Formula

Least Common Multiple of 436,2382 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 436,2382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,2382) = 2

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

GCF(436,2382) x common factors =2 x 1 = 2

LCM(436,2382) = ( 436 × 2382 ) / 2

LCM(436,2382) = 1038552 / 2

LCM(436,2382) = 519276


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 7712/436, 4143/2382

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 7712/436, 4143/2382?

Answer: GCF of Numerators as per given numbers 7712/436, 4143/2382 is

GCF of Numerators i.e. for 7712,4143 is 1

LCM of denominators i.e. for 436,2382 is 519276.

Thus, GCF of Fractions is 1/519276.Finally, GCF of Fractions for 7712/436, 4143/2382 is 1/519276.