Greatest Common Factor of 9064/91, 4649/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9064/91, 4649/438

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 9064/91,4649/438

Given fractions are 9064/91,4649/438

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 9064,4649

Greatest Common Factor of Numerators i.e. GCF of 9064,4649 is 1 .

LCM of Denominators means LCM of 91,438 as per the given fractions.

LCM of 91,438 is 39858 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9064,4649

GCF of Fractions 9064/91,4649/438 is 1/39858

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

Greatest Common Factor of 9064,4649 By Matching Biggest Common Factor Method

Greatest Common Factor of 9064,4649 By Matching Biggest Common Factor Method

Factors of 9064

List of positive integer factors of 9064 that divides 9064 without a remainder.

1,2,4,8,11,22,44,88,103,206,412,824,1133,2266,4532,9064

Factors of 4649

List of positive integer factors of 4649 that divides 4649 without a remainder.

1,4649

Greatest Common Factor

We found the factors 9064,4649 . The biggest common factor number is the GCF number.
So the greatest common factor 9064,4649 is 1.

Lets's calculate LCM of 91,438

Given numbers has no common factors except 1. So, there LCM is their product i.e 39858

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39858

Therefore, the GCF of Fractions 9064/91,4649/438 is 1/39858

Least Common Multiple of 91,438 with GCF Formula

Least Common Multiple of 91,438 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 91,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,438) = 1

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

GCF(91,438) x common factors =1 x 1 = 1

LCM(91,438) = ( 91 × 438 ) / 1

LCM(91,438) = 39858 / 1

LCM(91,438) = 39858


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 9064/91, 4649/438

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 9064/91, 4649/438?

Answer: GCF of Numerators as per given numbers 9064/91, 4649/438 is

GCF of Numerators i.e. for 9064,4649 is 1

LCM of denominators i.e. for 91,438 is 39858.

Thus, GCF of Fractions is 1/39858.Finally, GCF of Fractions for 9064/91, 4649/438 is 1/39858.