Greatest Common Factor of 1872/32, 9684/793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1872/32, 9684/793

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 1872/32,9684/793

Given fractions are 1872/32,9684/793

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 1872,9684

Greatest Common Factor of Numerators i.e. GCF of 1872,9684 is 36 .

LCM of Denominators means LCM of 32,793 as per the given fractions.

LCM of 32,793 is 25376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1872,9684

GCF of Fractions 1872/32,9684/793 is 36/25376

2 1872, 9684
2 936, 4842
3 468, 2421
3 156, 807
52, 269

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor of 1872,9684 By Matching Biggest Common Factor Method

Greatest Common Factor of 1872,9684 By Matching Biggest Common Factor Method

Factors of 1872

List of positive integer factors of 1872 that divides 1872 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,36,39,48,52,72,78,104,117,144,156,208,234,312,468,624,936,1872

Factors of 9684

List of positive integer factors of 9684 that divides 9684 without a remainder.

1,2,3,4,6,9,12,18,36,269,538,807,1076,1614,2421,3228,4842,9684

Greatest Common Factor

We found the factors 1872,9684 . The biggest common factor number is the GCF number.
So the greatest common factor 1872,9684 is 36.

Lets's calculate LCM of 32,793

Given numbers has no common factors except 1. So, there LCM is their product i.e 25376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/25376

Therefore, the GCF of Fractions 1872/32,9684/793 is 36/25376

Least Common Multiple of 32,793 with GCF Formula

Least Common Multiple of 32,793 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 32,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,793) = 1

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

GCF(32,793) x common factors =1 x 1 = 1

LCM(32,793) = ( 32 × 793 ) / 1

LCM(32,793) = 25376 / 1

LCM(32,793) = 25376


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 1872/32, 9684/793

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 1872/32, 9684/793?

Answer: GCF of Numerators as per given numbers 1872/32, 9684/793 is

GCF of Numerators i.e. for 1872,9684 is 36

LCM of denominators i.e. for 32,793 is 25376.

Thus, GCF of Fractions is 36/25376.Finally, GCF of Fractions for 1872/32, 9684/793 is 36/25376.