Greatest Common Factor of 75/27, 65/29, 829/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/27, 65/29, 829/709

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 75/27,65/29,829/709

Given fractions are 75/27,65/29,829/709

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 75,65,829

Greatest Common Factor of Numerators i.e. GCF of 75,65,829 is 1 .

LCM of Denominators means LCM of 27,29,709 as per the given fractions.

LCM of 27,29,709 is 555147 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,65,829

GCF of Fractions 75/27,65/29,829/709 is 1/555147

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

Greatest Common Factor of 75,65,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,65,829 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 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 75,65,829 . The biggest common factor number is the GCF number.
So the greatest common factor 75,65,829 is 1.

Lets's calculate LCM of 27,29,709

Given numbers has no common factors except 1. So, there LCM is their product i.e 555147

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/555147

Therefore, the GCF of Fractions 75/27,65/29,829/709 is 1/555147

Least Common Multiple of 27,29,709 with GCF Formula

Least Common Multiple of 27,29,709 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 27,29,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,29,709) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(27,29,709) x common factors =1 x 1 = 1

LCM(27,29,709) = ( 27 × 29 × 709 ) / 1

LCM(27,29,709) = 555147 / 1

LCM(27,29,709) = 555147


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 75/27, 65/29, 829/709

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 75/27, 65/29, 829/709?

Answer: GCF of Numerators as per given numbers 75/27, 65/29, 829/709 is

GCF of Numerators i.e. for 75,65,829 is 1

LCM of denominators i.e. for 27,29,709 is 555147.

Thus, GCF of Fractions is 1/555147.Finally, GCF of Fractions for 75/27, 65/29, 829/709 is 1/555147.