Greatest Common Factor of 6724/638, 1212/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6724/638, 1212/803

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 6724/638,1212/803

Given fractions are 6724/638,1212/803

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 6724,1212

Greatest Common Factor of Numerators i.e. GCF of 6724,1212 is 4 .

LCM of Denominators means LCM of 638,803 as per the given fractions.

LCM of 638,803 is 46574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6724,1212

GCF of Fractions 6724/638,1212/803 is 4/46574

2 6724, 1212
2 3362, 606
1681, 303

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6724,1212 By Matching Biggest Common Factor Method

Greatest Common Factor of 6724,1212 By Matching Biggest Common Factor Method

Factors of 6724

List of positive integer factors of 6724 that divides 6724 without a remainder.

1,2,4,41,82,164,1681,3362,6724

Factors of 1212

List of positive integer factors of 1212 that divides 1212 without a remainder.

1,2,3,4,6,12,101,202,303,404,606,1212

Greatest Common Factor

We found the factors 6724,1212 . The biggest common factor number is the GCF number.
So the greatest common factor 6724,1212 is 4.

Lets's calculate LCM of 638,803

11 638, 803
58, 73

∴ So the LCM of the given numbers is 11 x 58 x 73 = 46574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/46574

Therefore, the GCF of Fractions 6724/638,1212/803 is 4/46574

Least Common Multiple of 638,803 with GCF Formula

Least Common Multiple of 638,803 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 638,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,803) = 11

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

GCF(638,803) x common factors =11 x 1 = 11

LCM(638,803) = ( 638 × 803 ) / 11

LCM(638,803) = 512314 / 11

LCM(638,803) = 46574


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 6724/638, 1212/803

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 6724/638, 1212/803?

Answer: GCF of Numerators as per given numbers 6724/638, 1212/803 is

GCF of Numerators i.e. for 6724,1212 is 4

LCM of denominators i.e. for 638,803 is 46574.

Thus, GCF of Fractions is 4/46574.Finally, GCF of Fractions for 6724/638, 1212/803 is 4/46574.