Greatest Common Factor of 3886/790, 3161/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3886/790, 3161/231

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 3886/790,3161/231

Given fractions are 3886/790,3161/231

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 3886,3161

Greatest Common Factor of Numerators i.e. GCF of 3886,3161 is 29 .

LCM of Denominators means LCM of 790,231 as per the given fractions.

LCM of 790,231 is 182490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3886,3161

GCF of Fractions 3886/790,3161/231 is 29/182490

29 3886, 3161
134, 109

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 3886,3161 By Matching Biggest Common Factor Method

Greatest Common Factor of 3886,3161 By Matching Biggest Common Factor Method

Factors of 3886

List of positive integer factors of 3886 that divides 3886 without a remainder.

1,2,29,58,67,134,1943,3886

Factors of 3161

List of positive integer factors of 3161 that divides 3161 without a remainder.

1,29,109,3161

Greatest Common Factor

We found the factors 3886,3161 . The biggest common factor number is the GCF number.
So the greatest common factor 3886,3161 is 29.

Lets's calculate LCM of 790,231

Given numbers has no common factors except 1. So, there LCM is their product i.e 182490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/182490

Therefore, the GCF of Fractions 3886/790,3161/231 is 29/182490

Least Common Multiple of 790,231 with GCF Formula

Least Common Multiple of 790,231 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 790,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,231) = 1

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

GCF(790,231) x common factors =1 x 1 = 1

LCM(790,231) = ( 790 × 231 ) / 1

LCM(790,231) = 182490 / 1

LCM(790,231) = 182490


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 3886/790, 3161/231

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 3886/790, 3161/231?

Answer: GCF of Numerators as per given numbers 3886/790, 3161/231 is

GCF of Numerators i.e. for 3886,3161 is 29

LCM of denominators i.e. for 790,231 is 182490.

Thus, GCF of Fractions is 29/182490.Finally, GCF of Fractions for 3886/790, 3161/231 is 29/182490.