Greatest Common Factor of 6854/11, 1639/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6854/11, 1639/680

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 6854/11,1639/680

Given fractions are 6854/11,1639/680

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 6854,1639

Greatest Common Factor of Numerators i.e. GCF of 6854,1639 is 149 .

LCM of Denominators means LCM of 11,680 as per the given fractions.

LCM of 11,680 is 7480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6854,1639

GCF of Fractions 6854/11,1639/680 is 149/7480

149 6854, 1639
46, 11

∴ So the GCF of the given numbers is 149 = 149

Greatest Common Factor of 6854,1639 By Matching Biggest Common Factor Method

Greatest Common Factor of 6854,1639 By Matching Biggest Common Factor Method

Factors of 6854

List of positive integer factors of 6854 that divides 6854 without a remainder.

1,2,23,46,149,298,3427,6854

Factors of 1639

List of positive integer factors of 1639 that divides 1639 without a remainder.

1,11,149,1639

Greatest Common Factor

We found the factors 6854,1639 . The biggest common factor number is the GCF number.
So the greatest common factor 6854,1639 is 149.

Lets's calculate LCM of 11,680

Given numbers has no common factors except 1. So, there LCM is their product i.e 7480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 149/7480

Therefore, the GCF of Fractions 6854/11,1639/680 is 149/7480

Least Common Multiple of 11,680 with GCF Formula

Least Common Multiple of 11,680 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 11,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,680) = 1

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

GCF(11,680) x common factors =1 x 1 = 1

LCM(11,680) = ( 11 × 680 ) / 1

LCM(11,680) = 7480 / 1

LCM(11,680) = 7480


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 6854/11, 1639/680

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 6854/11, 1639/680?

Answer: GCF of Numerators as per given numbers 6854/11, 1639/680 is

GCF of Numerators i.e. for 6854,1639 is 149

LCM of denominators i.e. for 11,680 is 7480.

Thus, GCF of Fractions is 149/7480.Finally, GCF of Fractions for 6854/11, 1639/680 is 149/7480.