Greatest Common Factor of 7469/403, 9416/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7469/403, 9416/721

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 7469/403,9416/721

Given fractions are 7469/403,9416/721

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 7469,9416

Greatest Common Factor of Numerators i.e. GCF of 7469,9416 is 11 .

LCM of Denominators means LCM of 403,721 as per the given fractions.

LCM of 403,721 is 290563 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7469,9416

GCF of Fractions 7469/403,9416/721 is 11/290563

11 7469, 9416
679, 856

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 7469,9416 By Matching Biggest Common Factor Method

Greatest Common Factor of 7469,9416 By Matching Biggest Common Factor Method

Factors of 7469

List of positive integer factors of 7469 that divides 7469 without a remainder.

1,7,11,77,97,679,1067,7469

Factors of 9416

List of positive integer factors of 9416 that divides 9416 without a remainder.

1,2,4,8,11,22,44,88,107,214,428,856,1177,2354,4708,9416

Greatest Common Factor

We found the factors 7469,9416 . The biggest common factor number is the GCF number.
So the greatest common factor 7469,9416 is 11.

Lets's calculate LCM of 403,721

Given numbers has no common factors except 1. So, there LCM is their product i.e 290563

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/290563

Therefore, the GCF of Fractions 7469/403,9416/721 is 11/290563

Least Common Multiple of 403,721 with GCF Formula

Least Common Multiple of 403,721 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 403,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,721) = 1

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

GCF(403,721) x common factors =1 x 1 = 1

LCM(403,721) = ( 403 × 721 ) / 1

LCM(403,721) = 290563 / 1

LCM(403,721) = 290563


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 7469/403, 9416/721

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 7469/403, 9416/721?

Answer: GCF of Numerators as per given numbers 7469/403, 9416/721 is

GCF of Numerators i.e. for 7469,9416 is 11

LCM of denominators i.e. for 403,721 is 290563.

Thus, GCF of Fractions is 11/290563.Finally, GCF of Fractions for 7469/403, 9416/721 is 11/290563.