Greatest Common Factor of 833/131, 592/609, 667/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 833/131, 592/609, 667/812

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 833/131,592/609,667/812

Given fractions are 833/131,592/609,667/812

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 833,592,667

Greatest Common Factor of Numerators i.e. GCF of 833,592,667 is 1 .

LCM of Denominators means LCM of 131,609,812 as per the given fractions.

LCM of 131,609,812 is 319116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 833,592,667

GCF of Fractions 833/131,592/609,667/812 is 1/319116

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

Greatest Common Factor of 833,592,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 833,592,667 By Matching Biggest Common Factor Method

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors 833,592,667 . The biggest common factor number is the GCF number.
So the greatest common factor 833,592,667 is 1.

Lets's calculate LCM of 131,609,812

7 131, 609, 812
29 131, 87, 116
131, 3, 4

∴ So the LCM of the given numbers is 7 x 29 x 131 x 3 x 4 = 319116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/319116

Therefore, the GCF of Fractions 833/131,592/609,667/812 is 1/319116

Least Common Multiple of 131,609,812 with GCF Formula

Least Common Multiple of 131,609,812 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 131,609,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,609,812) = 1

common factors(in case of two or more numbers have common factors) = 203

GCF(131,609,812) x common factors =1 x 203 = 203

LCM(131,609,812) = ( 131 × 609 × 812 ) / 203

LCM(131,609,812) = 64780548 / 203

LCM(131,609,812) = 319116


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 833/131, 592/609, 667/812

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 833/131, 592/609, 667/812?

Answer: GCF of Numerators as per given numbers 833/131, 592/609, 667/812 is

GCF of Numerators i.e. for 833,592,667 is 1

LCM of denominators i.e. for 131,609,812 is 319116.

Thus, GCF of Fractions is 1/319116.Finally, GCF of Fractions for 833/131, 592/609, 667/812 is 1/319116.