Greatest Common Factor of 1/67, 24/31, 28/330, 561/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/67, 24/31, 28/330, 561/825

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 1/67,24/31,28/330,561/825

Given fractions are 1/67,24/31,28/330,561/825

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 1,24,28,561

Greatest Common Factor of Numerators i.e. GCF of 1,24,28,561 is 1 .

LCM of Denominators means LCM of 67,31,330,825 as per the given fractions.

LCM of 67,31,330,825 is 3427050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,24,28,561

GCF of Fractions 1/67,24/31,28/330,561/825 is 1/3427050

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

Greatest Common Factor of 1,24,28,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,24,28,561 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 1,24,28,561 . The biggest common factor number is the GCF number.
So the greatest common factor 1,24,28,561 is 1.

Lets's calculate LCM of 67,31,330,825

3 67, 31, 330, 825
5 67, 31, 110, 275
11 67, 31, 22, 55
67, 31, 2, 5

∴ So the LCM of the given numbers is 3 x 5 x 11 x 67 x 31 x 2 x 5 = 3427050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3427050

Therefore, the GCF of Fractions 1/67,24/31,28/330,561/825 is 1/3427050

Least Common Multiple of 67,31,330,825 with GCF Formula

Least Common Multiple of 67,31,330,825 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 67,31,330,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,31,330,825) = 1

common factors(in case of two or more numbers have common factors) = 165

GCF(67,31,330,825) x common factors =1 x 165 = 165

LCM(67,31,330,825) = ( 67 × 31 × 330 × 825 ) / 165

LCM(67,31,330,825) = 565463250 / 165

LCM(67,31,330,825) = 3427050


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 1/67, 24/31, 28/330, 561/825

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 1/67, 24/31, 28/330, 561/825?

Answer: GCF of Numerators as per given numbers 1/67, 24/31, 28/330, 561/825 is

GCF of Numerators i.e. for 1,24,28,561 is 1

LCM of denominators i.e. for 67,31,330,825 is 3427050.

Thus, GCF of Fractions is 1/3427050.Finally, GCF of Fractions for 1/67, 24/31, 28/330, 561/825 is 1/3427050.