Greatest Common Factor of 936/42, 346/9688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 936/42, 346/9688

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 936/42,346/9688

Given fractions are 936/42,346/9688

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 936,346

Greatest Common Factor of Numerators i.e. GCF of 936,346 is 2 .

LCM of Denominators means LCM of 42,9688 as per the given fractions.

LCM of 42,9688 is 29064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 936,346

GCF of Fractions 936/42,346/9688 is 2/29064

2 936, 346
468, 173

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 936,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 936,346 By Matching Biggest Common Factor Method

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 936,346 . The biggest common factor number is the GCF number.
So the greatest common factor 936,346 is 2.

Lets's calculate LCM of 42,9688

2 42, 9688
7 21, 4844
3, 692

∴ So the LCM of the given numbers is 2 x 7 x 3 x 692 = 29064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29064

Therefore, the GCF of Fractions 936/42,346/9688 is 2/29064

Least Common Multiple of 42,9688 with GCF Formula

Least Common Multiple of 42,9688 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 42,9688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,9688) = 14

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

GCF(42,9688) x common factors =14 x 1 = 14

LCM(42,9688) = ( 42 × 9688 ) / 14

LCM(42,9688) = 406896 / 14

LCM(42,9688) = 29064


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 936/42, 346/9688

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 936/42, 346/9688?

Answer: GCF of Numerators as per given numbers 936/42, 346/9688 is

GCF of Numerators i.e. for 936,346 is 2

LCM of denominators i.e. for 42,9688 is 29064.

Thus, GCF of Fractions is 2/29064.Finally, GCF of Fractions for 936/42, 346/9688 is 2/29064.