Greatest Common Factor of 4158/554, 6438/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4158/554, 6438/154

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 4158/554,6438/154

Given fractions are 4158/554,6438/154

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 4158,6438

Greatest Common Factor of Numerators i.e. GCF of 4158,6438 is 6 .

LCM of Denominators means LCM of 554,154 as per the given fractions.

LCM of 554,154 is 42658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4158,6438

GCF of Fractions 4158/554,6438/154 is 6/42658

2 4158, 6438
3 2079, 3219
693, 1073

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4158,6438 By Matching Biggest Common Factor Method

Greatest Common Factor of 4158,6438 By Matching Biggest Common Factor Method

Factors of 4158

List of positive integer factors of 4158 that divides 4158 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,27,33,42,54,63,66,77,99,126,154,189,198,231,297,378,462,594,693,1386,2079,4158

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

Greatest Common Factor

We found the factors 4158,6438 . The biggest common factor number is the GCF number.
So the greatest common factor 4158,6438 is 6.

Lets's calculate LCM of 554,154

2 554, 154
277, 77

∴ So the LCM of the given numbers is 2 x 277 x 77 = 42658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/42658

Therefore, the GCF of Fractions 4158/554,6438/154 is 6/42658

Least Common Multiple of 554,154 with GCF Formula

Least Common Multiple of 554,154 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 554,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(554,154) = 2

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

GCF(554,154) x common factors =2 x 1 = 2

LCM(554,154) = ( 554 × 154 ) / 2

LCM(554,154) = 85316 / 2

LCM(554,154) = 42658


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 4158/554, 6438/154

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 4158/554, 6438/154?

Answer: GCF of Numerators as per given numbers 4158/554, 6438/154 is

GCF of Numerators i.e. for 4158,6438 is 6

LCM of denominators i.e. for 554,154 is 42658.

Thus, GCF of Fractions is 6/42658.Finally, GCF of Fractions for 4158/554, 6438/154 is 6/42658.