Greatest Common Factor of 83/58, 993/13, 647/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/58, 993/13, 647/631

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 83/58,993/13,647/631

Given fractions are 83/58,993/13,647/631

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 83,993,647

Greatest Common Factor of Numerators i.e. GCF of 83,993,647 is 1 .

LCM of Denominators means LCM of 58,13,631 as per the given fractions.

LCM of 58,13,631 is 475774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,993,647

GCF of Fractions 83/58,993/13,647/631 is 1/475774

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

Greatest Common Factor of 83,993,647 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,993,647 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Greatest Common Factor

We found the factors 83,993,647 . The biggest common factor number is the GCF number.
So the greatest common factor 83,993,647 is 1.

Lets's calculate LCM of 58,13,631

Given numbers has no common factors except 1. So, there LCM is their product i.e 475774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/475774

Therefore, the GCF of Fractions 83/58,993/13,647/631 is 1/475774

Least Common Multiple of 58,13,631 with GCF Formula

Least Common Multiple of 58,13,631 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 58,13,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,13,631) = 1

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

GCF(58,13,631) x common factors =1 x 1 = 1

LCM(58,13,631) = ( 58 × 13 × 631 ) / 1

LCM(58,13,631) = 475774 / 1

LCM(58,13,631) = 475774


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 83/58, 993/13, 647/631

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 83/58, 993/13, 647/631?

Answer: GCF of Numerators as per given numbers 83/58, 993/13, 647/631 is

GCF of Numerators i.e. for 83,993,647 is 1

LCM of denominators i.e. for 58,13,631 is 475774.

Thus, GCF of Fractions is 1/475774.Finally, GCF of Fractions for 83/58, 993/13, 647/631 is 1/475774.