Greatest Common Factor of 624/427, 843/801, 558/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 624/427, 843/801, 558/678

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 624/427,843/801,558/678

Given fractions are 624/427,843/801,558/678

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 624,843,558

Greatest Common Factor of Numerators i.e. GCF of 624,843,558 is 3 .

LCM of Denominators means LCM of 427,801,678 as per the given fractions.

LCM of 427,801,678 is 77298102 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 624,843,558

GCF of Fractions 624/427,843/801,558/678 is 3/77298102

3 624, 843, 558
208, 281, 186

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 624,843,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,843,558 By Matching Biggest Common Factor Method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 624,843,558 . The biggest common factor number is the GCF number.
So the greatest common factor 624,843,558 is 3.

Lets's calculate LCM of 427,801,678

3 427, 801, 678
427, 267, 226

∴ So the LCM of the given numbers is 3 x 427 x 267 x 226 = 77298102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/77298102

Therefore, the GCF of Fractions 624/427,843/801,558/678 is 3/77298102

Least Common Multiple of 427,801,678 with GCF Formula

Least Common Multiple of 427,801,678 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 427,801,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,801,678) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(427,801,678) x common factors =1 x 3 = 3

LCM(427,801,678) = ( 427 × 801 × 678 ) / 3

LCM(427,801,678) = 231894306 / 3

LCM(427,801,678) = 77298102


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 624/427, 843/801, 558/678

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 624/427, 843/801, 558/678?

Answer: GCF of Numerators as per given numbers 624/427, 843/801, 558/678 is

GCF of Numerators i.e. for 624,843,558 is 3

LCM of denominators i.e. for 427,801,678 is 77298102.

Thus, GCF of Fractions is 3/77298102.Finally, GCF of Fractions for 624/427, 843/801, 558/678 is 3/77298102.