Greatest Common Factor of 75/219, 82/160, 574/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/219, 82/160, 574/758

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 75/219,82/160,574/758

Given fractions are 75/219,82/160,574/758

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 75,82,574

Greatest Common Factor of Numerators i.e. GCF of 75,82,574 is 1 .

LCM of Denominators means LCM of 219,160,758 as per the given fractions.

LCM of 219,160,758 is 13280160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,82,574

GCF of Fractions 75/219,82/160,574/758 is 1/13280160

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

Greatest Common Factor of 75,82,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,82,574 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 75,82,574 . The biggest common factor number is the GCF number.
So the greatest common factor 75,82,574 is 1.

Lets's calculate LCM of 219,160,758

2 219, 160, 758
219, 80, 379

∴ So the LCM of the given numbers is 2 x 219 x 80 x 379 = 13280160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13280160

Therefore, the GCF of Fractions 75/219,82/160,574/758 is 1/13280160

Least Common Multiple of 219,160,758 with GCF Formula

Least Common Multiple of 219,160,758 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 219,160,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,160,758) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(219,160,758) x common factors =1 x 2 = 2

LCM(219,160,758) = ( 219 × 160 × 758 ) / 2

LCM(219,160,758) = 26560320 / 2

LCM(219,160,758) = 13280160


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 75/219, 82/160, 574/758

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 75/219, 82/160, 574/758?

Answer: GCF of Numerators as per given numbers 75/219, 82/160, 574/758 is

GCF of Numerators i.e. for 75,82,574 is 1

LCM of denominators i.e. for 219,160,758 is 13280160.

Thus, GCF of Fractions is 1/13280160.Finally, GCF of Fractions for 75/219, 82/160, 574/758 is 1/13280160.