Greatest Common Factor of 5/11, 13/86, 83/107, 508/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/11, 13/86, 83/107, 508/475

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 5/11,13/86,83/107,508/475

Given fractions are 5/11,13/86,83/107,508/475

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 5,13,83,508

Greatest Common Factor of Numerators i.e. GCF of 5,13,83,508 is 1 .

LCM of Denominators means LCM of 11,86,107,475 as per the given fractions.

LCM of 11,86,107,475 is 48080450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,13,83,508

GCF of Fractions 5/11,13/86,83/107,508/475 is 1/48080450

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

Greatest Common Factor of 5,13,83,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,13,83,508 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 83

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

1,83

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 5,13,83,508 . The biggest common factor number is the GCF number.
So the greatest common factor 5,13,83,508 is 1.

Lets's calculate LCM of 11,86,107,475

Given numbers has no common factors except 1. So, there LCM is their product i.e 48080450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48080450

Therefore, the GCF of Fractions 5/11,13/86,83/107,508/475 is 1/48080450

Least Common Multiple of 11,86,107,475 with GCF Formula

Least Common Multiple of 11,86,107,475 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 11,86,107,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,86,107,475) = 1

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

GCF(11,86,107,475) x common factors =1 x 1 = 1

LCM(11,86,107,475) = ( 11 × 86 × 107 × 475 ) / 1

LCM(11,86,107,475) = 48080450 / 1

LCM(11,86,107,475) = 48080450


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 5/11, 13/86, 83/107, 508/475

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 5/11, 13/86, 83/107, 508/475?

Answer: GCF of Numerators as per given numbers 5/11, 13/86, 83/107, 508/475 is

GCF of Numerators i.e. for 5,13,83,508 is 1

LCM of denominators i.e. for 11,86,107,475 is 48080450.

Thus, GCF of Fractions is 1/48080450.Finally, GCF of Fractions for 5/11, 13/86, 83/107, 508/475 is 1/48080450.