Greatest Common Factor of 685/14, 6995/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 685/14, 6995/872

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 685/14,6995/872

Given fractions are 685/14,6995/872

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 685,6995

Greatest Common Factor of Numerators i.e. GCF of 685,6995 is 5 .

LCM of Denominators means LCM of 14,872 as per the given fractions.

LCM of 14,872 is 6104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 685,6995

GCF of Fractions 685/14,6995/872 is 5/6104

5 685, 6995
137, 1399

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 685,6995 By Matching Biggest Common Factor Method

Greatest Common Factor of 685,6995 By Matching Biggest Common Factor Method

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 6995

List of positive integer factors of 6995 that divides 6995 without a remainder.

1,5,1399,6995

Greatest Common Factor

We found the factors 685,6995 . The biggest common factor number is the GCF number.
So the greatest common factor 685,6995 is 5.

Lets's calculate LCM of 14,872

2 14, 872
7, 436

∴ So the LCM of the given numbers is 2 x 7 x 436 = 6104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6104

Therefore, the GCF of Fractions 685/14,6995/872 is 5/6104

Least Common Multiple of 14,872 with GCF Formula

Least Common Multiple of 14,872 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 14,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,872) = 2

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

GCF(14,872) x common factors =2 x 1 = 2

LCM(14,872) = ( 14 × 872 ) / 2

LCM(14,872) = 12208 / 2

LCM(14,872) = 6104


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 685/14, 6995/872

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 685/14, 6995/872?

Answer: GCF of Numerators as per given numbers 685/14, 6995/872 is

GCF of Numerators i.e. for 685,6995 is 5

LCM of denominators i.e. for 14,872 is 6104.

Thus, GCF of Fractions is 5/6104.Finally, GCF of Fractions for 685/14, 6995/872 is 5/6104.