Greatest Common Factor of 6438/602, 4366/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6438/602, 4366/114

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 6438/602,4366/114

Given fractions are 6438/602,4366/114

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 6438,4366

Greatest Common Factor of Numerators i.e. GCF of 6438,4366 is 74 .

LCM of Denominators means LCM of 602,114 as per the given fractions.

LCM of 602,114 is 34314 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6438,4366

GCF of Fractions 6438/602,4366/114 is 74/34314

2 6438, 4366
37 3219, 2183
87, 59

∴ So the GCF of the given numbers is 2 x 37 = 74

Greatest Common Factor of 6438,4366 By Matching Biggest Common Factor Method

Greatest Common Factor of 6438,4366 By Matching Biggest Common Factor Method

Factors of 6438

List of positive integer factors of 6438 that divides 6438 without a remainder.

1,2,3,6,29,37,58,74,87,111,174,222,1073,2146,3219,6438

Factors of 4366

List of positive integer factors of 4366 that divides 4366 without a remainder.

1,2,37,59,74,118,2183,4366

Greatest Common Factor

We found the factors 6438,4366 . The biggest common factor number is the GCF number.
So the greatest common factor 6438,4366 is 74.

Lets's calculate LCM of 602,114

2 602, 114
301, 57

∴ So the LCM of the given numbers is 2 x 301 x 57 = 34314

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 74/34314

Therefore, the GCF of Fractions 6438/602,4366/114 is 74/34314

Least Common Multiple of 602,114 with GCF Formula

Least Common Multiple of 602,114 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 602,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(602,114) = 2

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

GCF(602,114) x common factors =2 x 1 = 2

LCM(602,114) = ( 602 × 114 ) / 2

LCM(602,114) = 68628 / 2

LCM(602,114) = 34314


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 6438/602, 4366/114

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 6438/602, 4366/114?

Answer: GCF of Numerators as per given numbers 6438/602, 4366/114 is

GCF of Numerators i.e. for 6438,4366 is 74

LCM of denominators i.e. for 602,114 is 34314.

Thus, GCF of Fractions is 74/34314.Finally, GCF of Fractions for 6438/602, 4366/114 is 74/34314.