Greatest Common Factor of 4289/58, 3806/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4289/58, 3806/988

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 4289/58,3806/988

Given fractions are 4289/58,3806/988

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 4289,3806

Greatest Common Factor of Numerators i.e. GCF of 4289,3806 is 1 .

LCM of Denominators means LCM of 58,988 as per the given fractions.

LCM of 58,988 is 28652 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4289,3806

GCF of Fractions 4289/58,3806/988 is 1/28652

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

Greatest Common Factor of 4289,3806 By Matching Biggest Common Factor Method

Greatest Common Factor of 4289,3806 By Matching Biggest Common Factor Method

Factors of 4289

List of positive integer factors of 4289 that divides 4289 without a remainder.

1,4289

Factors of 3806

List of positive integer factors of 3806 that divides 3806 without a remainder.

1,2,11,22,173,346,1903,3806

Greatest Common Factor

We found the factors 4289,3806 . The biggest common factor number is the GCF number.
So the greatest common factor 4289,3806 is 1.

Lets's calculate LCM of 58,988

2 58, 988
29, 494

∴ So the LCM of the given numbers is 2 x 29 x 494 = 28652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28652

Therefore, the GCF of Fractions 4289/58,3806/988 is 1/28652

Least Common Multiple of 58,988 with GCF Formula

Least Common Multiple of 58,988 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 58,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,988) = 2

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

GCF(58,988) x common factors =2 x 1 = 2

LCM(58,988) = ( 58 × 988 ) / 2

LCM(58,988) = 57304 / 2

LCM(58,988) = 28652


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 4289/58, 3806/988

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 4289/58, 3806/988?

Answer: GCF of Numerators as per given numbers 4289/58, 3806/988 is

GCF of Numerators i.e. for 4289,3806 is 1

LCM of denominators i.e. for 58,988 is 28652.

Thus, GCF of Fractions is 1/28652.Finally, GCF of Fractions for 4289/58, 3806/988 is 1/28652.