Greatest Common Factor of 6823/357, 5154/9708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6823/357, 5154/9708

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 6823/357,5154/9708

Given fractions are 6823/357,5154/9708

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 6823,5154

Greatest Common Factor of Numerators i.e. GCF of 6823,5154 is 1 .

LCM of Denominators means LCM of 357,9708 as per the given fractions.

LCM of 357,9708 is 1155252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6823,5154

GCF of Fractions 6823/357,5154/9708 is 1/1155252

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

Greatest Common Factor of 6823,5154 By Matching Biggest Common Factor Method

Greatest Common Factor of 6823,5154 By Matching Biggest Common Factor Method

Factors of 6823

List of positive integer factors of 6823 that divides 6823 without a remainder.

1,6823

Factors of 5154

List of positive integer factors of 5154 that divides 5154 without a remainder.

1,2,3,6,859,1718,2577,5154

Greatest Common Factor

We found the factors 6823,5154 . The biggest common factor number is the GCF number.
So the greatest common factor 6823,5154 is 1.

Lets's calculate LCM of 357,9708

3 357, 9708
119, 3236

∴ So the LCM of the given numbers is 3 x 119 x 3236 = 1155252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1155252

Therefore, the GCF of Fractions 6823/357,5154/9708 is 1/1155252

Least Common Multiple of 357,9708 with GCF Formula

Least Common Multiple of 357,9708 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 357,9708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,9708) = 3

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

GCF(357,9708) x common factors =3 x 1 = 3

LCM(357,9708) = ( 357 × 9708 ) / 3

LCM(357,9708) = 3465756 / 3

LCM(357,9708) = 1155252


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 6823/357, 5154/9708

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 6823/357, 5154/9708?

Answer: GCF of Numerators as per given numbers 6823/357, 5154/9708 is

GCF of Numerators i.e. for 6823,5154 is 1

LCM of denominators i.e. for 357,9708 is 1155252.

Thus, GCF of Fractions is 1/1155252.Finally, GCF of Fractions for 6823/357, 5154/9708 is 1/1155252.