Greatest Common Factor of 658/420, 6178/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 658/420, 6178/404

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 658/420,6178/404

Given fractions are 658/420,6178/404

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 658,6178

Greatest Common Factor of Numerators i.e. GCF of 658,6178 is 2 .

LCM of Denominators means LCM of 420,404 as per the given fractions.

LCM of 420,404 is 42420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 658,6178

GCF of Fractions 658/420,6178/404 is 2/42420

2 658, 6178
329, 3089

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

Greatest Common Factor of 658,6178 By Matching Biggest Common Factor Method

Greatest Common Factor of 658,6178 By Matching Biggest Common Factor Method

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 6178

List of positive integer factors of 6178 that divides 6178 without a remainder.

1,2,3089,6178

Greatest Common Factor

We found the factors 658,6178 . The biggest common factor number is the GCF number.
So the greatest common factor 658,6178 is 2.

Lets's calculate LCM of 420,404

2 420, 404
2 210, 202
105, 101

∴ So the LCM of the given numbers is 2 x 2 x 105 x 101 = 42420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42420

Therefore, the GCF of Fractions 658/420,6178/404 is 2/42420

Least Common Multiple of 420,404 with GCF Formula

Least Common Multiple of 420,404 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 420,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,404) = 4

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

GCF(420,404) x common factors =4 x 1 = 4

LCM(420,404) = ( 420 × 404 ) / 4

LCM(420,404) = 169680 / 4

LCM(420,404) = 42420


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 658/420, 6178/404

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 658/420, 6178/404?

Answer: GCF of Numerators as per given numbers 658/420, 6178/404 is

GCF of Numerators i.e. for 658,6178 is 2

LCM of denominators i.e. for 420,404 is 42420.

Thus, GCF of Fractions is 2/42420.Finally, GCF of Fractions for 658/420, 6178/404 is 2/42420.