Greatest Common Factor of 4129/282, 1672/5746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4129/282, 1672/5746

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 4129/282,1672/5746

Given fractions are 4129/282,1672/5746

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 4129,1672

Greatest Common Factor of Numerators i.e. GCF of 4129,1672 is 1 .

LCM of Denominators means LCM of 282,5746 as per the given fractions.

LCM of 282,5746 is 810186 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4129,1672

GCF of Fractions 4129/282,1672/5746 is 1/810186

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

Greatest Common Factor of 4129,1672 By Matching Biggest Common Factor Method

Greatest Common Factor of 4129,1672 By Matching Biggest Common Factor Method

Factors of 4129

List of positive integer factors of 4129 that divides 4129 without a remainder.

1,4129

Factors of 1672

List of positive integer factors of 1672 that divides 1672 without a remainder.

1,2,4,8,11,19,22,38,44,76,88,152,209,418,836,1672

Greatest Common Factor

We found the factors 4129,1672 . The biggest common factor number is the GCF number.
So the greatest common factor 4129,1672 is 1.

Lets's calculate LCM of 282,5746

2 282, 5746
141, 2873

∴ So the LCM of the given numbers is 2 x 141 x 2873 = 810186

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/810186

Therefore, the GCF of Fractions 4129/282,1672/5746 is 1/810186

Least Common Multiple of 282,5746 with GCF Formula

Least Common Multiple of 282,5746 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 282,5746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,5746) = 2

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

GCF(282,5746) x common factors =2 x 1 = 2

LCM(282,5746) = ( 282 × 5746 ) / 2

LCM(282,5746) = 1620372 / 2

LCM(282,5746) = 810186


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 4129/282, 1672/5746

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 4129/282, 1672/5746?

Answer: GCF of Numerators as per given numbers 4129/282, 1672/5746 is

GCF of Numerators i.e. for 4129,1672 is 1

LCM of denominators i.e. for 282,5746 is 810186.

Thus, GCF of Fractions is 1/810186.Finally, GCF of Fractions for 4129/282, 1672/5746 is 1/810186.