Greatest Common Factor of 833/327, 951/460, 340/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 833/327, 951/460, 340/690

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 833/327,951/460,340/690

Given fractions are 833/327,951/460,340/690

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 833,951,340

Greatest Common Factor of Numerators i.e. GCF of 833,951,340 is 1 .

LCM of Denominators means LCM of 327,460,690 as per the given fractions.

LCM of 327,460,690 is 150420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 833,951,340

GCF of Fractions 833/327,951/460,340/690 is 1/150420

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

Greatest Common Factor of 833,951,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 833,951,340 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 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 833,951,340 . The biggest common factor number is the GCF number.
So the greatest common factor 833,951,340 is 1.

Lets's calculate LCM of 327,460,690

2 327, 460, 690
3 327, 230, 345
5 109, 230, 115
23 109, 46, 23
109, 2, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 23 x 109 x 2 x 1 = 150420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150420

Therefore, the GCF of Fractions 833/327,951/460,340/690 is 1/150420

Least Common Multiple of 327,460,690 with GCF Formula

Least Common Multiple of 327,460,690 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 327,460,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,460,690) = 1

common factors(in case of two or more numbers have common factors) = 690

GCF(327,460,690) x common factors =1 x 690 = 690

LCM(327,460,690) = ( 327 × 460 × 690 ) / 690

LCM(327,460,690) = 103789800 / 690

LCM(327,460,690) = 150420


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 833/327, 951/460, 340/690

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 833/327, 951/460, 340/690?

Answer: GCF of Numerators as per given numbers 833/327, 951/460, 340/690 is

GCF of Numerators i.e. for 833,951,340 is 1

LCM of denominators i.e. for 327,460,690 is 150420.

Thus, GCF of Fractions is 1/150420.Finally, GCF of Fractions for 833/327, 951/460, 340/690 is 1/150420.