Greatest Common Factor of 6348/545, 9821/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6348/545, 9821/326

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 6348/545,9821/326

Given fractions are 6348/545,9821/326

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 6348,9821

Greatest Common Factor of Numerators i.e. GCF of 6348,9821 is 23 .

LCM of Denominators means LCM of 545,326 as per the given fractions.

LCM of 545,326 is 177670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6348,9821

GCF of Fractions 6348/545,9821/326 is 23/177670

23 6348, 9821
276, 427

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 6348,9821 By Matching Biggest Common Factor Method

Greatest Common Factor of 6348,9821 By Matching Biggest Common Factor Method

Factors of 6348

List of positive integer factors of 6348 that divides 6348 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276,529,1058,1587,2116,3174,6348

Factors of 9821

List of positive integer factors of 9821 that divides 9821 without a remainder.

1,7,23,61,161,427,1403,9821

Greatest Common Factor

We found the factors 6348,9821 . The biggest common factor number is the GCF number.
So the greatest common factor 6348,9821 is 23.

Lets's calculate LCM of 545,326

Given numbers has no common factors except 1. So, there LCM is their product i.e 177670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/177670

Therefore, the GCF of Fractions 6348/545,9821/326 is 23/177670

Least Common Multiple of 545,326 with GCF Formula

Least Common Multiple of 545,326 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 545,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(545,326) = 1

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

GCF(545,326) x common factors =1 x 1 = 1

LCM(545,326) = ( 545 × 326 ) / 1

LCM(545,326) = 177670 / 1

LCM(545,326) = 177670


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 6348/545, 9821/326

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 6348/545, 9821/326?

Answer: GCF of Numerators as per given numbers 6348/545, 9821/326 is

GCF of Numerators i.e. for 6348,9821 is 23

LCM of denominators i.e. for 545,326 is 177670.

Thus, GCF of Fractions is 23/177670.Finally, GCF of Fractions for 6348/545, 9821/326 is 23/177670.