Greatest Common Factor of 9446/649, 5144/8275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9446/649, 5144/8275

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 9446/649,5144/8275

Given fractions are 9446/649,5144/8275

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 9446,5144

Greatest Common Factor of Numerators i.e. GCF of 9446,5144 is 2 .

LCM of Denominators means LCM of 649,8275 as per the given fractions.

LCM of 649,8275 is 5370475 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9446,5144

GCF of Fractions 9446/649,5144/8275 is 2/5370475

2 9446, 5144
4723, 2572

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

Greatest Common Factor of 9446,5144 By Matching Biggest Common Factor Method

Greatest Common Factor of 9446,5144 By Matching Biggest Common Factor Method

Factors of 9446

List of positive integer factors of 9446 that divides 9446 without a remainder.

1,2,4723,9446

Factors of 5144

List of positive integer factors of 5144 that divides 5144 without a remainder.

1,2,4,8,643,1286,2572,5144

Greatest Common Factor

We found the factors 9446,5144 . The biggest common factor number is the GCF number.
So the greatest common factor 9446,5144 is 2.

Lets's calculate LCM of 649,8275

Given numbers has no common factors except 1. So, there LCM is their product i.e 5370475

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5370475

Therefore, the GCF of Fractions 9446/649,5144/8275 is 2/5370475

Least Common Multiple of 649,8275 with GCF Formula

Least Common Multiple of 649,8275 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 649,8275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,8275) = 1

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

GCF(649,8275) x common factors =1 x 1 = 1

LCM(649,8275) = ( 649 × 8275 ) / 1

LCM(649,8275) = 5370475 / 1

LCM(649,8275) = 5370475


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 9446/649, 5144/8275

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 9446/649, 5144/8275?

Answer: GCF of Numerators as per given numbers 9446/649, 5144/8275 is

GCF of Numerators i.e. for 9446,5144 is 2

LCM of denominators i.e. for 649,8275 is 5370475.

Thus, GCF of Fractions is 2/5370475.Finally, GCF of Fractions for 9446/649, 5144/8275 is 2/5370475.