Greatest Common Factor of 424/891, 2544/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 424/891, 2544/823

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 424/891,2544/823

Given fractions are 424/891,2544/823

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 424,2544

Greatest Common Factor of Numerators i.e. GCF of 424,2544 is 424 .

LCM of Denominators means LCM of 891,823 as per the given fractions.

LCM of 891,823 is 733293 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 424,2544

GCF of Fractions 424/891,2544/823 is 424/733293

2 424, 2544
2 212, 1272
2 106, 636
53 53, 318
1, 6

∴ So the GCF of the given numbers is 2 x 2 x 2 x 53 = 424

Greatest Common Factor of 424,2544 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,2544 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 2544

List of positive integer factors of 2544 that divides 2544 without a remainder.

1,2,3,4,6,8,12,16,24,48,53,106,159,212,318,424,636,848,1272,2544

Greatest Common Factor

We found the factors 424,2544 . The biggest common factor number is the GCF number.
So the greatest common factor 424,2544 is 424.

Lets's calculate LCM of 891,823

Given numbers has no common factors except 1. So, there LCM is their product i.e 733293

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 424/733293

Therefore, the GCF of Fractions 424/891,2544/823 is 424/733293

Least Common Multiple of 891,823 with GCF Formula

Least Common Multiple of 891,823 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 891,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(891,823) = 1

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

GCF(891,823) x common factors =1 x 1 = 1

LCM(891,823) = ( 891 × 823 ) / 1

LCM(891,823) = 733293 / 1

LCM(891,823) = 733293


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 424/891, 2544/823

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 424/891, 2544/823?

Answer: GCF of Numerators as per given numbers 424/891, 2544/823 is

GCF of Numerators i.e. for 424,2544 is 424

LCM of denominators i.e. for 891,823 is 733293.

Thus, GCF of Fractions is 424/733293.Finally, GCF of Fractions for 424/891, 2544/823 is 424/733293.