Greatest Common Factor of 4196/667, 6901/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4196/667, 6901/638

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 4196/667,6901/638

Given fractions are 4196/667,6901/638

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 4196,6901

Greatest Common Factor of Numerators i.e. GCF of 4196,6901 is 1 .

LCM of Denominators means LCM of 667,638 as per the given fractions.

LCM of 667,638 is 14674 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4196,6901

GCF of Fractions 4196/667,6901/638 is 1/14674

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

Greatest Common Factor of 4196,6901 By Matching Biggest Common Factor Method

Greatest Common Factor of 4196,6901 By Matching Biggest Common Factor Method

Factors of 4196

List of positive integer factors of 4196 that divides 4196 without a remainder.

1,2,4,1049,2098,4196

Factors of 6901

List of positive integer factors of 6901 that divides 6901 without a remainder.

1,67,103,6901

Greatest Common Factor

We found the factors 4196,6901 . The biggest common factor number is the GCF number.
So the greatest common factor 4196,6901 is 1.

Lets's calculate LCM of 667,638

29 667, 638
23, 22

∴ So the LCM of the given numbers is 29 x 23 x 22 = 14674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14674

Therefore, the GCF of Fractions 4196/667,6901/638 is 1/14674

Least Common Multiple of 667,638 with GCF Formula

Least Common Multiple of 667,638 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 667,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,638) = 29

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

GCF(667,638) x common factors =29 x 1 = 29

LCM(667,638) = ( 667 × 638 ) / 29

LCM(667,638) = 425546 / 29

LCM(667,638) = 14674


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 4196/667, 6901/638

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 4196/667, 6901/638?

Answer: GCF of Numerators as per given numbers 4196/667, 6901/638 is

GCF of Numerators i.e. for 4196,6901 is 1

LCM of denominators i.e. for 667,638 is 14674.

Thus, GCF of Fractions is 1/14674.Finally, GCF of Fractions for 4196/667, 6901/638 is 1/14674.