Greatest Common Factor of 83/869, 697/108, 206/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/869, 697/108, 206/476

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 83/869,697/108,206/476

Given fractions are 83/869,697/108,206/476

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 83,697,206

Greatest Common Factor of Numerators i.e. GCF of 83,697,206 is 1 .

LCM of Denominators means LCM of 869,108,476 as per the given fractions.

LCM of 869,108,476 is 11168388 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,697,206

GCF of Fractions 83/869,697/108,206/476 is 1/11168388

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

Greatest Common Factor of 83,697,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,697,206 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 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 83,697,206 . The biggest common factor number is the GCF number.
So the greatest common factor 83,697,206 is 1.

Lets's calculate LCM of 869,108,476

2 869, 108, 476
2 869, 54, 238
869, 27, 119

∴ So the LCM of the given numbers is 2 x 2 x 869 x 27 x 119 = 11168388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11168388

Therefore, the GCF of Fractions 83/869,697/108,206/476 is 1/11168388

Least Common Multiple of 869,108,476 with GCF Formula

Least Common Multiple of 869,108,476 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 869,108,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(869,108,476) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(869,108,476) x common factors =1 x 4 = 4

LCM(869,108,476) = ( 869 × 108 × 476 ) / 4

LCM(869,108,476) = 44673552 / 4

LCM(869,108,476) = 11168388


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 83/869, 697/108, 206/476

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 83/869, 697/108, 206/476?

Answer: GCF of Numerators as per given numbers 83/869, 697/108, 206/476 is

GCF of Numerators i.e. for 83,697,206 is 1

LCM of denominators i.e. for 869,108,476 is 11168388.

Thus, GCF of Fractions is 1/11168388.Finally, GCF of Fractions for 83/869, 697/108, 206/476 is 1/11168388.