Greatest Common Factor of 4638/784, 4725/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4638/784, 4725/923

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 4638/784,4725/923

Given fractions are 4638/784,4725/923

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 4638,4725

Greatest Common Factor of Numerators i.e. GCF of 4638,4725 is 3 .

LCM of Denominators means LCM of 784,923 as per the given fractions.

LCM of 784,923 is 723632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4638,4725

GCF of Fractions 4638/784,4725/923 is 3/723632

3 4638, 4725
1546, 1575

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

Greatest Common Factor of 4638,4725 By Matching Biggest Common Factor Method

Greatest Common Factor of 4638,4725 By Matching Biggest Common Factor Method

Factors of 4638

List of positive integer factors of 4638 that divides 4638 without a remainder.

1,2,3,6,773,1546,2319,4638

Factors of 4725

List of positive integer factors of 4725 that divides 4725 without a remainder.

1,3,5,7,9,15,21,25,27,35,45,63,75,105,135,175,189,225,315,525,675,945,1575,4725

Greatest Common Factor

We found the factors 4638,4725 . The biggest common factor number is the GCF number.
So the greatest common factor 4638,4725 is 3.

Lets's calculate LCM of 784,923

Given numbers has no common factors except 1. So, there LCM is their product i.e 723632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/723632

Therefore, the GCF of Fractions 4638/784,4725/923 is 3/723632

Least Common Multiple of 784,923 with GCF Formula

Least Common Multiple of 784,923 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 784,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,923) = 1

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

GCF(784,923) x common factors =1 x 1 = 1

LCM(784,923) = ( 784 × 923 ) / 1

LCM(784,923) = 723632 / 1

LCM(784,923) = 723632


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 4638/784, 4725/923

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 4638/784, 4725/923?

Answer: GCF of Numerators as per given numbers 4638/784, 4725/923 is

GCF of Numerators i.e. for 4638,4725 is 3

LCM of denominators i.e. for 784,923 is 723632.

Thus, GCF of Fractions is 3/723632.Finally, GCF of Fractions for 4638/784, 4725/923 is 3/723632.