Greatest Common Factor of 71/13, 83/35, 887/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/13, 83/35, 887/417

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 71/13,83/35,887/417

Given fractions are 71/13,83/35,887/417

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 71,83,887

Greatest Common Factor of Numerators i.e. GCF of 71,83,887 is 1 .

LCM of Denominators means LCM of 13,35,417 as per the given fractions.

LCM of 13,35,417 is 189735 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,83,887

GCF of Fractions 71/13,83/35,887/417 is 1/189735

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

Greatest Common Factor of 71,83,887 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,83,887 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 83

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

1,83

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Greatest Common Factor

We found the factors 71,83,887 . The biggest common factor number is the GCF number.
So the greatest common factor 71,83,887 is 1.

Lets's calculate LCM of 13,35,417

Given numbers has no common factors except 1. So, there LCM is their product i.e 189735

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189735

Therefore, the GCF of Fractions 71/13,83/35,887/417 is 1/189735

Least Common Multiple of 13,35,417 with GCF Formula

Least Common Multiple of 13,35,417 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 13,35,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,35,417) = 1

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

GCF(13,35,417) x common factors =1 x 1 = 1

LCM(13,35,417) = ( 13 × 35 × 417 ) / 1

LCM(13,35,417) = 189735 / 1

LCM(13,35,417) = 189735


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 71/13, 83/35, 887/417

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 71/13, 83/35, 887/417?

Answer: GCF of Numerators as per given numbers 71/13, 83/35, 887/417 is

GCF of Numerators i.e. for 71,83,887 is 1

LCM of denominators i.e. for 13,35,417 is 189735.

Thus, GCF of Fractions is 1/189735.Finally, GCF of Fractions for 71/13, 83/35, 887/417 is 1/189735.