Greatest Common Factor of 65/285, 315/688, 872/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/285, 315/688, 872/829

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 65/285,315/688,872/829

Given fractions are 65/285,315/688,872/829

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 65,315,872

Greatest Common Factor of Numerators i.e. GCF of 65,315,872 is 1 .

LCM of Denominators means LCM of 285,688,829 as per the given fractions.

LCM of 285,688,829 is 162550320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,315,872

GCF of Fractions 65/285,315/688,872/829 is 1/162550320

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

Greatest Common Factor of 65,315,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,315,872 By Matching Biggest Common Factor Method

Factors of 65

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

1,5,13,65

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 65,315,872 . The biggest common factor number is the GCF number.
So the greatest common factor 65,315,872 is 1.

Lets's calculate LCM of 285,688,829

Given numbers has no common factors except 1. So, there LCM is their product i.e 162550320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162550320

Therefore, the GCF of Fractions 65/285,315/688,872/829 is 1/162550320

Least Common Multiple of 285,688,829 with GCF Formula

Least Common Multiple of 285,688,829 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 285,688,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,688,829) = 1

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

GCF(285,688,829) x common factors =1 x 1 = 1

LCM(285,688,829) = ( 285 × 688 × 829 ) / 1

LCM(285,688,829) = 162550320 / 1

LCM(285,688,829) = 162550320


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 65/285, 315/688, 872/829

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 65/285, 315/688, 872/829?

Answer: GCF of Numerators as per given numbers 65/285, 315/688, 872/829 is

GCF of Numerators i.e. for 65,315,872 is 1

LCM of denominators i.e. for 285,688,829 is 162550320.

Thus, GCF of Fractions is 1/162550320.Finally, GCF of Fractions for 65/285, 315/688, 872/829 is 1/162550320.