Greatest Common Factor of 424/953, 606/831, 278/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 424/953, 606/831, 278/555

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 424/953,606/831,278/555

Given fractions are 424/953,606/831,278/555

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 424,606,278

Greatest Common Factor of Numerators i.e. GCF of 424,606,278 is 2 .

LCM of Denominators means LCM of 953,831,555 as per the given fractions.

LCM of 953,831,555 is 146509455 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 424,606,278

GCF of Fractions 424/953,606/831,278/555 is 2/146509455

2 424, 606, 278
212, 303, 139

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

Greatest Common Factor of 424,606,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,606,278 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 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 424,606,278 . The biggest common factor number is the GCF number.
So the greatest common factor 424,606,278 is 2.

Lets's calculate LCM of 953,831,555

3 953, 831, 555
953, 277, 185

∴ So the LCM of the given numbers is 3 x 953 x 277 x 185 = 146509455

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/146509455

Therefore, the GCF of Fractions 424/953,606/831,278/555 is 2/146509455

Least Common Multiple of 953,831,555 with GCF Formula

Least Common Multiple of 953,831,555 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 953,831,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(953,831,555) = 1

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

GCF(953,831,555) x common factors =1 x 3 = 3

LCM(953,831,555) = ( 953 × 831 × 555 ) / 3

LCM(953,831,555) = 439528365 / 3

LCM(953,831,555) = 146509455


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 424/953, 606/831, 278/555

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 424/953, 606/831, 278/555?

Answer: GCF of Numerators as per given numbers 424/953, 606/831, 278/555 is

GCF of Numerators i.e. for 424,606,278 is 2

LCM of denominators i.e. for 953,831,555 is 146509455.

Thus, GCF of Fractions is 2/146509455.Finally, GCF of Fractions for 424/953, 606/831, 278/555 is 2/146509455.