Greatest Common Factor of 2316/602, 4704/2812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2316/602, 4704/2812

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 2316/602,4704/2812

Given fractions are 2316/602,4704/2812

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 2316,4704

Greatest Common Factor of Numerators i.e. GCF of 2316,4704 is 12 .

LCM of Denominators means LCM of 602,2812 as per the given fractions.

LCM of 602,2812 is 846412 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2316,4704

GCF of Fractions 2316/602,4704/2812 is 12/846412

2 2316, 4704
2 1158, 2352
3 579, 1176
193, 392

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 2316,4704 By Matching Biggest Common Factor Method

Greatest Common Factor of 2316,4704 By Matching Biggest Common Factor Method

Factors of 2316

List of positive integer factors of 2316 that divides 2316 without a remainder.

1,2,3,4,6,12,193,386,579,772,1158,2316

Factors of 4704

List of positive integer factors of 4704 that divides 4704 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,84,96,98,112,147,168,196,224,294,336,392,588,672,784,1176,1568,2352,4704

Greatest Common Factor

We found the factors 2316,4704 . The biggest common factor number is the GCF number.
So the greatest common factor 2316,4704 is 12.

Lets's calculate LCM of 602,2812

2 602, 2812
301, 1406

∴ So the LCM of the given numbers is 2 x 301 x 1406 = 846412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/846412

Therefore, the GCF of Fractions 2316/602,4704/2812 is 12/846412

Least Common Multiple of 602,2812 with GCF Formula

Least Common Multiple of 602,2812 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 602,2812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(602,2812) = 2

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

GCF(602,2812) x common factors =2 x 1 = 2

LCM(602,2812) = ( 602 × 2812 ) / 2

LCM(602,2812) = 1692824 / 2

LCM(602,2812) = 846412


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 2316/602, 4704/2812

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 2316/602, 4704/2812?

Answer: GCF of Numerators as per given numbers 2316/602, 4704/2812 is

GCF of Numerators i.e. for 2316,4704 is 12

LCM of denominators i.e. for 602,2812 is 846412.

Thus, GCF of Fractions is 12/846412.Finally, GCF of Fractions for 2316/602, 4704/2812 is 12/846412.