Greatest Common Factor of 9404/23, 7504/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9404/23, 7504/774

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 9404/23,7504/774

Given fractions are 9404/23,7504/774

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 9404,7504

Greatest Common Factor of Numerators i.e. GCF of 9404,7504 is 4 .

LCM of Denominators means LCM of 23,774 as per the given fractions.

LCM of 23,774 is 17802 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9404,7504

GCF of Fractions 9404/23,7504/774 is 4/17802

2 9404, 7504
2 4702, 3752
2351, 1876

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9404,7504 By Matching Biggest Common Factor Method

Greatest Common Factor of 9404,7504 By Matching Biggest Common Factor Method

Factors of 9404

List of positive integer factors of 9404 that divides 9404 without a remainder.

1,2,4,2351,4702,9404

Factors of 7504

List of positive integer factors of 7504 that divides 7504 without a remainder.

1,2,4,7,8,14,16,28,56,67,112,134,268,469,536,938,1072,1876,3752,7504

Greatest Common Factor

We found the factors 9404,7504 . The biggest common factor number is the GCF number.
So the greatest common factor 9404,7504 is 4.

Lets's calculate LCM of 23,774

Given numbers has no common factors except 1. So, there LCM is their product i.e 17802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/17802

Therefore, the GCF of Fractions 9404/23,7504/774 is 4/17802

Least Common Multiple of 23,774 with GCF Formula

Least Common Multiple of 23,774 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 23,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,774) = 1

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

GCF(23,774) x common factors =1 x 1 = 1

LCM(23,774) = ( 23 × 774 ) / 1

LCM(23,774) = 17802 / 1

LCM(23,774) = 17802


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 9404/23, 7504/774

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 9404/23, 7504/774?

Answer: GCF of Numerators as per given numbers 9404/23, 7504/774 is

GCF of Numerators i.e. for 9404,7504 is 4

LCM of denominators i.e. for 23,774 is 17802.

Thus, GCF of Fractions is 4/17802.Finally, GCF of Fractions for 9404/23, 7504/774 is 4/17802.