Greatest Common Factor of 644/26, 808/48, 731/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 644/26, 808/48, 731/825

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 644/26,808/48,731/825

Given fractions are 644/26,808/48,731/825

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 644,808,731

Greatest Common Factor of Numerators i.e. GCF of 644,808,731 is 1 .

LCM of Denominators means LCM of 26,48,825 as per the given fractions.

LCM of 26,48,825 is 171600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 644,808,731

GCF of Fractions 644/26,808/48,731/825 is 1/171600

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

Greatest Common Factor of 644,808,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,808,731 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 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 644,808,731 . The biggest common factor number is the GCF number.
So the greatest common factor 644,808,731 is 1.

Lets's calculate LCM of 26,48,825

2 26, 48, 825
3 13, 24, 825
13, 8, 275

∴ So the LCM of the given numbers is 2 x 3 x 13 x 8 x 275 = 171600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171600

Therefore, the GCF of Fractions 644/26,808/48,731/825 is 1/171600

Least Common Multiple of 26,48,825 with GCF Formula

Least Common Multiple of 26,48,825 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 26,48,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,48,825) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(26,48,825) x common factors =1 x 6 = 6

LCM(26,48,825) = ( 26 × 48 × 825 ) / 6

LCM(26,48,825) = 1029600 / 6

LCM(26,48,825) = 171600


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 644/26, 808/48, 731/825

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 644/26, 808/48, 731/825?

Answer: GCF of Numerators as per given numbers 644/26, 808/48, 731/825 is

GCF of Numerators i.e. for 644,808,731 is 1

LCM of denominators i.e. for 26,48,825 is 171600.

Thus, GCF of Fractions is 1/171600.Finally, GCF of Fractions for 644/26, 808/48, 731/825 is 1/171600.