Greatest Common Factor of 933/10, 756/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 933/10, 756/342

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 933/10,756/342

Given fractions are 933/10,756/342

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 933,756

Greatest Common Factor of Numerators i.e. GCF of 933,756 is 3 .

LCM of Denominators means LCM of 10,342 as per the given fractions.

LCM of 10,342 is 1710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 933,756

GCF of Fractions 933/10,756/342 is 3/1710

3 933, 756
311, 252

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 933,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,756 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 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 933,756 . The biggest common factor number is the GCF number.
So the greatest common factor 933,756 is 3.

Lets's calculate LCM of 10,342

2 10, 342
5, 171

∴ So the LCM of the given numbers is 2 x 5 x 171 = 1710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1710

Therefore, the GCF of Fractions 933/10,756/342 is 3/1710

Least Common Multiple of 10,342 with GCF Formula

Least Common Multiple of 10,342 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 10,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,342) = 2

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

GCF(10,342) x common factors =2 x 1 = 2

LCM(10,342) = ( 10 × 342 ) / 2

LCM(10,342) = 3420 / 2

LCM(10,342) = 1710


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 933/10, 756/342

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 933/10, 756/342?

Answer: GCF of Numerators as per given numbers 933/10, 756/342 is

GCF of Numerators i.e. for 933,756 is 3

LCM of denominators i.e. for 10,342 is 1710.

Thus, GCF of Fractions is 3/1710.Finally, GCF of Fractions for 933/10, 756/342 is 3/1710.