Greatest Common Factor of 6273/11, 3123/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6273/11, 3123/826

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 6273/11,3123/826

Given fractions are 6273/11,3123/826

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 6273,3123

Greatest Common Factor of Numerators i.e. GCF of 6273,3123 is 9 .

LCM of Denominators means LCM of 11,826 as per the given fractions.

LCM of 11,826 is 9086 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6273,3123

GCF of Fractions 6273/11,3123/826 is 9/9086

3 6273, 3123
3 2091, 1041
697, 347

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 6273,3123 By Matching Biggest Common Factor Method

Greatest Common Factor of 6273,3123 By Matching Biggest Common Factor Method

Factors of 6273

List of positive integer factors of 6273 that divides 6273 without a remainder.

1,3,9,17,41,51,123,153,369,697,2091,6273

Factors of 3123

List of positive integer factors of 3123 that divides 3123 without a remainder.

1,3,9,347,1041,3123

Greatest Common Factor

We found the factors 6273,3123 . The biggest common factor number is the GCF number.
So the greatest common factor 6273,3123 is 9.

Lets's calculate LCM of 11,826

Given numbers has no common factors except 1. So, there LCM is their product i.e 9086

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/9086

Therefore, the GCF of Fractions 6273/11,3123/826 is 9/9086

Least Common Multiple of 11,826 with GCF Formula

Least Common Multiple of 11,826 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 11,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,826) = 1

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

GCF(11,826) x common factors =1 x 1 = 1

LCM(11,826) = ( 11 × 826 ) / 1

LCM(11,826) = 9086 / 1

LCM(11,826) = 9086


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 6273/11, 3123/826

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 6273/11, 3123/826?

Answer: GCF of Numerators as per given numbers 6273/11, 3123/826 is

GCF of Numerators i.e. for 6273,3123 is 9

LCM of denominators i.e. for 11,826 is 9086.

Thus, GCF of Fractions is 9/9086.Finally, GCF of Fractions for 6273/11, 3123/826 is 9/9086.