Greatest Common Factor of 744/46, 2312/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 744/46, 2312/824

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 744/46,2312/824

Given fractions are 744/46,2312/824

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 744,2312

Greatest Common Factor of Numerators i.e. GCF of 744,2312 is 8 .

LCM of Denominators means LCM of 46,824 as per the given fractions.

LCM of 46,824 is 18952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 744,2312

GCF of Fractions 744/46,2312/824 is 8/18952

2 744, 2312
2 372, 1156
2 186, 578
93, 289

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 744,2312 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,2312 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 2312

List of positive integer factors of 2312 that divides 2312 without a remainder.

1,2,4,8,17,34,68,136,289,578,1156,2312

Greatest Common Factor

We found the factors 744,2312 . The biggest common factor number is the GCF number.
So the greatest common factor 744,2312 is 8.

Lets's calculate LCM of 46,824

2 46, 824
23, 412

∴ So the LCM of the given numbers is 2 x 23 x 412 = 18952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/18952

Therefore, the GCF of Fractions 744/46,2312/824 is 8/18952

Least Common Multiple of 46,824 with GCF Formula

Least Common Multiple of 46,824 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 46,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,824) = 2

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

GCF(46,824) x common factors =2 x 1 = 2

LCM(46,824) = ( 46 × 824 ) / 2

LCM(46,824) = 37904 / 2

LCM(46,824) = 18952


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 744/46, 2312/824

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 744/46, 2312/824?

Answer: GCF of Numerators as per given numbers 744/46, 2312/824 is

GCF of Numerators i.e. for 744,2312 is 8

LCM of denominators i.e. for 46,824 is 18952.

Thus, GCF of Fractions is 8/18952.Finally, GCF of Fractions for 744/46, 2312/824 is 8/18952.