Greatest Common Factor of 741/23, 435/67, 936/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 741/23, 435/67, 936/904

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 741/23,435/67,936/904

Given fractions are 741/23,435/67,936/904

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 741,435,936

Greatest Common Factor of Numerators i.e. GCF of 741,435,936 is 3 .

LCM of Denominators means LCM of 23,67,904 as per the given fractions.

LCM of 23,67,904 is 1393064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 741,435,936

GCF of Fractions 741/23,435/67,936/904 is 3/1393064

3 741, 435, 936
247, 145, 312

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

Greatest Common Factor of 741,435,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,435,936 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

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

Greatest Common Factor

We found the factors 741,435,936 . The biggest common factor number is the GCF number.
So the greatest common factor 741,435,936 is 3.

Lets's calculate LCM of 23,67,904

Given numbers has no common factors except 1. So, there LCM is their product i.e 1393064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1393064

Therefore, the GCF of Fractions 741/23,435/67,936/904 is 3/1393064

Least Common Multiple of 23,67,904 with GCF Formula

Least Common Multiple of 23,67,904 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 23,67,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,67,904) = 1

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

GCF(23,67,904) x common factors =1 x 1 = 1

LCM(23,67,904) = ( 23 × 67 × 904 ) / 1

LCM(23,67,904) = 1393064 / 1

LCM(23,67,904) = 1393064


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 741/23, 435/67, 936/904

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 741/23, 435/67, 936/904?

Answer: GCF of Numerators as per given numbers 741/23, 435/67, 936/904 is

GCF of Numerators i.e. for 741,435,936 is 3

LCM of denominators i.e. for 23,67,904 is 1393064.

Thus, GCF of Fractions is 3/1393064.Finally, GCF of Fractions for 741/23, 435/67, 936/904 is 3/1393064.