Greatest Common Factor of 1873/72, 8064/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1873/72, 8064/749

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 1873/72,8064/749

Given fractions are 1873/72,8064/749

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 1873,8064

Greatest Common Factor of Numerators i.e. GCF of 1873,8064 is 1 .

LCM of Denominators means LCM of 72,749 as per the given fractions.

LCM of 72,749 is 53928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1873,8064

GCF of Fractions 1873/72,8064/749 is 1/53928

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

Greatest Common Factor of 1873,8064 By Matching Biggest Common Factor Method

Greatest Common Factor of 1873,8064 By Matching Biggest Common Factor Method

Factors of 1873

List of positive integer factors of 1873 that divides 1873 without a remainder.

1,1873

Factors of 8064

List of positive integer factors of 8064 that divides 8064 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,128,144,168,192,224,252,288,336,384,448,504,576,672,896,1008,1152,1344,2016,2688,4032,8064

Greatest Common Factor

We found the factors 1873,8064 . The biggest common factor number is the GCF number.
So the greatest common factor 1873,8064 is 1.

Lets's calculate LCM of 72,749

Given numbers has no common factors except 1. So, there LCM is their product i.e 53928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53928

Therefore, the GCF of Fractions 1873/72,8064/749 is 1/53928

Least Common Multiple of 72,749 with GCF Formula

Least Common Multiple of 72,749 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 72,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,749) = 1

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

GCF(72,749) x common factors =1 x 1 = 1

LCM(72,749) = ( 72 × 749 ) / 1

LCM(72,749) = 53928 / 1

LCM(72,749) = 53928


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 1873/72, 8064/749

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 1873/72, 8064/749?

Answer: GCF of Numerators as per given numbers 1873/72, 8064/749 is

GCF of Numerators i.e. for 1873,8064 is 1

LCM of denominators i.e. for 72,749 is 53928.

Thus, GCF of Fractions is 1/53928.Finally, GCF of Fractions for 1873/72, 8064/749 is 1/53928.