Greatest Common Factor of 83/266, 863/169, 628/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/266, 863/169, 628/239

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 83/266,863/169,628/239

Given fractions are 83/266,863/169,628/239

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 83,863,628

Greatest Common Factor of Numerators i.e. GCF of 83,863,628 is 1 .

LCM of Denominators means LCM of 266,169,239 as per the given fractions.

LCM of 266,169,239 is 10744006 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,863,628

GCF of Fractions 83/266,863/169,628/239 is 1/10744006

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

Greatest Common Factor of 83,863,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,863,628 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 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 83,863,628 . The biggest common factor number is the GCF number.
So the greatest common factor 83,863,628 is 1.

Lets's calculate LCM of 266,169,239

Given numbers has no common factors except 1. So, there LCM is their product i.e 10744006

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10744006

Therefore, the GCF of Fractions 83/266,863/169,628/239 is 1/10744006

Least Common Multiple of 266,169,239 with GCF Formula

Least Common Multiple of 266,169,239 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 266,169,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(266,169,239) = 1

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

GCF(266,169,239) x common factors =1 x 1 = 1

LCM(266,169,239) = ( 266 × 169 × 239 ) / 1

LCM(266,169,239) = 10744006 / 1

LCM(266,169,239) = 10744006


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 83/266, 863/169, 628/239

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 83/266, 863/169, 628/239?

Answer: GCF of Numerators as per given numbers 83/266, 863/169, 628/239 is

GCF of Numerators i.e. for 83,863,628 is 1

LCM of denominators i.e. for 266,169,239 is 10744006.

Thus, GCF of Fractions is 1/10744006.Finally, GCF of Fractions for 83/266, 863/169, 628/239 is 1/10744006.