Greatest Common Factor of 684/57, 6826/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 684/57, 6826/680

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 684/57,6826/680

Given fractions are 684/57,6826/680

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 684,6826

Greatest Common Factor of Numerators i.e. GCF of 684,6826 is 2 .

LCM of Denominators means LCM of 57,680 as per the given fractions.

LCM of 57,680 is 38760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 684,6826

GCF of Fractions 684/57,6826/680 is 2/38760

2 684, 6826
342, 3413

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 684,6826 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,6826 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 6826

List of positive integer factors of 6826 that divides 6826 without a remainder.

1,2,3413,6826

Greatest Common Factor

We found the factors 684,6826 . The biggest common factor number is the GCF number.
So the greatest common factor 684,6826 is 2.

Lets's calculate LCM of 57,680

Given numbers has no common factors except 1. So, there LCM is their product i.e 38760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38760

Therefore, the GCF of Fractions 684/57,6826/680 is 2/38760

Least Common Multiple of 57,680 with GCF Formula

Least Common Multiple of 57,680 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 57,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,680) = 1

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

GCF(57,680) x common factors =1 x 1 = 1

LCM(57,680) = ( 57 × 680 ) / 1

LCM(57,680) = 38760 / 1

LCM(57,680) = 38760


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 684/57, 6826/680

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 684/57, 6826/680?

Answer: GCF of Numerators as per given numbers 684/57, 6826/680 is

GCF of Numerators i.e. for 684,6826 is 2

LCM of denominators i.e. for 57,680 is 38760.

Thus, GCF of Fractions is 2/38760.Finally, GCF of Fractions for 684/57, 6826/680 is 2/38760.