Greatest Common Factor of 933/34, 628/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 933/34, 628/684

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 933/34,628/684

Given fractions are 933/34,628/684

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 933,628

Greatest Common Factor of Numerators i.e. GCF of 933,628 is 1 .

LCM of Denominators means LCM of 34,684 as per the given fractions.

LCM of 34,684 is 11628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 933,628

GCF of Fractions 933/34,628/684 is 1/11628

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

Greatest Common Factor of 933,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,628 By Matching Biggest Common Factor Method

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

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 933,628 . The biggest common factor number is the GCF number.
So the greatest common factor 933,628 is 1.

Lets's calculate LCM of 34,684

2 34, 684
17, 342

∴ So the LCM of the given numbers is 2 x 17 x 342 = 11628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11628

Therefore, the GCF of Fractions 933/34,628/684 is 1/11628

Least Common Multiple of 34,684 with GCF Formula

Least Common Multiple of 34,684 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 34,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,684) = 2

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

GCF(34,684) x common factors =2 x 1 = 2

LCM(34,684) = ( 34 × 684 ) / 2

LCM(34,684) = 23256 / 2

LCM(34,684) = 11628


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 933/34, 628/684

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 933/34, 628/684?

Answer: GCF of Numerators as per given numbers 933/34, 628/684 is

GCF of Numerators i.e. for 933,628 is 1

LCM of denominators i.e. for 34,684 is 11628.

Thus, GCF of Fractions is 1/11628.Finally, GCF of Fractions for 933/34, 628/684 is 1/11628.