Greatest Common Factor of 644/724, 510/240, 419/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 644/724, 510/240, 419/472

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 644/724,510/240,419/472

Given fractions are 644/724,510/240,419/472

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 644,510,419

Greatest Common Factor of Numerators i.e. GCF of 644,510,419 is 1 .

LCM of Denominators means LCM of 724,240,472 as per the given fractions.

LCM of 724,240,472 is 2562960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 644,510,419

GCF of Fractions 644/724,510/240,419/472 is 1/2562960

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 644,510,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,510,419 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Greatest Common Factor

We found the factors 644,510,419 . The biggest common factor number is the GCF number.
So the greatest common factor 644,510,419 is 1.

Lets's calculate LCM of 724,240,472

2 724, 240, 472
2 362, 120, 236
2 181, 60, 118
181, 30, 59

∴ So the LCM of the given numbers is 2 x 2 x 2 x 181 x 30 x 59 = 2562960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2562960

Therefore, the GCF of Fractions 644/724,510/240,419/472 is 1/2562960

Least Common Multiple of 724,240,472 with GCF Formula

Least Common Multiple of 724,240,472 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 724,240,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,240,472) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(724,240,472) x common factors =4 x 8 = 32

LCM(724,240,472) = ( 724 × 240 × 472 ) / 32

LCM(724,240,472) = 82014720 / 32

LCM(724,240,472) = 2562960


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 644/724, 510/240, 419/472

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 644/724, 510/240, 419/472?

Answer: GCF of Numerators as per given numbers 644/724, 510/240, 419/472 is

GCF of Numerators i.e. for 644,510,419 is 1

LCM of denominators i.e. for 724,240,472 is 2562960.

Thus, GCF of Fractions is 1/2562960.Finally, GCF of Fractions for 644/724, 510/240, 419/472 is 1/2562960.