Greatest Common Factor of 6628/67, 3402/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6628/67, 3402/993

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 6628/67,3402/993

Given fractions are 6628/67,3402/993

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 6628,3402

Greatest Common Factor of Numerators i.e. GCF of 6628,3402 is 2 .

LCM of Denominators means LCM of 67,993 as per the given fractions.

LCM of 67,993 is 66531 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6628,3402

GCF of Fractions 6628/67,3402/993 is 2/66531

2 6628, 3402
3314, 1701

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

Greatest Common Factor of 6628,3402 By Matching Biggest Common Factor Method

Greatest Common Factor of 6628,3402 By Matching Biggest Common Factor Method

Factors of 6628

List of positive integer factors of 6628 that divides 6628 without a remainder.

1,2,4,1657,3314,6628

Factors of 3402

List of positive integer factors of 3402 that divides 3402 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,81,126,162,189,243,378,486,567,1134,1701,3402

Greatest Common Factor

We found the factors 6628,3402 . The biggest common factor number is the GCF number.
So the greatest common factor 6628,3402 is 2.

Lets's calculate LCM of 67,993

Given numbers has no common factors except 1. So, there LCM is their product i.e 66531

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/66531

Therefore, the GCF of Fractions 6628/67,3402/993 is 2/66531

Least Common Multiple of 67,993 with GCF Formula

Least Common Multiple of 67,993 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 67,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,993) = 1

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

GCF(67,993) x common factors =1 x 1 = 1

LCM(67,993) = ( 67 × 993 ) / 1

LCM(67,993) = 66531 / 1

LCM(67,993) = 66531


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 6628/67, 3402/993

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 6628/67, 3402/993?

Answer: GCF of Numerators as per given numbers 6628/67, 3402/993 is

GCF of Numerators i.e. for 6628,3402 is 2

LCM of denominators i.e. for 67,993 is 66531.

Thus, GCF of Fractions is 2/66531.Finally, GCF of Fractions for 6628/67, 3402/993 is 2/66531.