Greatest Common Factor of 83/17, 425/69, 367/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/17, 425/69, 367/868

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 83/17,425/69,367/868

Given fractions are 83/17,425/69,367/868

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 83,425,367

Greatest Common Factor of Numerators i.e. GCF of 83,425,367 is 1 .

LCM of Denominators means LCM of 17,69,868 as per the given fractions.

LCM of 17,69,868 is 1018164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,425,367

GCF of Fractions 83/17,425/69,367/868 is 1/1018164

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

Greatest Common Factor of 83,425,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,425,367 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 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 83,425,367 . The biggest common factor number is the GCF number.
So the greatest common factor 83,425,367 is 1.

Lets's calculate LCM of 17,69,868

Given numbers has no common factors except 1. So, there LCM is their product i.e 1018164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1018164

Therefore, the GCF of Fractions 83/17,425/69,367/868 is 1/1018164

Least Common Multiple of 17,69,868 with GCF Formula

Least Common Multiple of 17,69,868 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 17,69,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,69,868) = 1

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

GCF(17,69,868) x common factors =1 x 1 = 1

LCM(17,69,868) = ( 17 × 69 × 868 ) / 1

LCM(17,69,868) = 1018164 / 1

LCM(17,69,868) = 1018164


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 83/17, 425/69, 367/868

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 83/17, 425/69, 367/868?

Answer: GCF of Numerators as per given numbers 83/17, 425/69, 367/868 is

GCF of Numerators i.e. for 83,425,367 is 1

LCM of denominators i.e. for 17,69,868 is 1018164.

Thus, GCF of Fractions is 1/1018164.Finally, GCF of Fractions for 83/17, 425/69, 367/868 is 1/1018164.