Greatest Common Factor of 6822/25, 6389/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6822/25, 6389/640

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 6822/25,6389/640

Given fractions are 6822/25,6389/640

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 6822,6389

Greatest Common Factor of Numerators i.e. GCF of 6822,6389 is 1 .

LCM of Denominators means LCM of 25,640 as per the given fractions.

LCM of 25,640 is 3200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6822,6389

GCF of Fractions 6822/25,6389/640 is 1/3200

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

Greatest Common Factor of 6822,6389 By Matching Biggest Common Factor Method

Greatest Common Factor of 6822,6389 By Matching Biggest Common Factor Method

Factors of 6822

List of positive integer factors of 6822 that divides 6822 without a remainder.

1,2,3,6,9,18,379,758,1137,2274,3411,6822

Factors of 6389

List of positive integer factors of 6389 that divides 6389 without a remainder.

1,6389

Greatest Common Factor

We found the factors 6822,6389 . The biggest common factor number is the GCF number.
So the greatest common factor 6822,6389 is 1.

Lets's calculate LCM of 25,640

5 25, 640
5, 128

∴ So the LCM of the given numbers is 5 x 5 x 128 = 3200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3200

Therefore, the GCF of Fractions 6822/25,6389/640 is 1/3200

Least Common Multiple of 25,640 with GCF Formula

Least Common Multiple of 25,640 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 25,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,640) = 5

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

GCF(25,640) x common factors =5 x 1 = 5

LCM(25,640) = ( 25 × 640 ) / 5

LCM(25,640) = 16000 / 5

LCM(25,640) = 3200


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 6822/25, 6389/640

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 6822/25, 6389/640?

Answer: GCF of Numerators as per given numbers 6822/25, 6389/640 is

GCF of Numerators i.e. for 6822,6389 is 1

LCM of denominators i.e. for 25,640 is 3200.

Thus, GCF of Fractions is 1/3200.Finally, GCF of Fractions for 6822/25, 6389/640 is 1/3200.