Greatest Common Factor of 5330/459, 6496/773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5330/459, 6496/773

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 5330/459,6496/773

Given fractions are 5330/459,6496/773

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 5330,6496

Greatest Common Factor of Numerators i.e. GCF of 5330,6496 is 2 .

LCM of Denominators means LCM of 459,773 as per the given fractions.

LCM of 459,773 is 354807 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5330,6496

GCF of Fractions 5330/459,6496/773 is 2/354807

2 5330, 6496
2665, 3248

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

Greatest Common Factor of 5330,6496 By Matching Biggest Common Factor Method

Greatest Common Factor of 5330,6496 By Matching Biggest Common Factor Method

Factors of 5330

List of positive integer factors of 5330 that divides 5330 without a remainder.

1,2,5,10,13,26,41,65,82,130,205,410,533,1066,2665,5330

Factors of 6496

List of positive integer factors of 6496 that divides 6496 without a remainder.

1,2,4,7,8,14,16,28,29,32,56,58,112,116,203,224,232,406,464,812,928,1624,3248,6496

Greatest Common Factor

We found the factors 5330,6496 . The biggest common factor number is the GCF number.
So the greatest common factor 5330,6496 is 2.

Lets's calculate LCM of 459,773

Given numbers has no common factors except 1. So, there LCM is their product i.e 354807

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/354807

Therefore, the GCF of Fractions 5330/459,6496/773 is 2/354807

Least Common Multiple of 459,773 with GCF Formula

Least Common Multiple of 459,773 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 459,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,773) = 1

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

GCF(459,773) x common factors =1 x 1 = 1

LCM(459,773) = ( 459 × 773 ) / 1

LCM(459,773) = 354807 / 1

LCM(459,773) = 354807


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 5330/459, 6496/773

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 5330/459, 6496/773?

Answer: GCF of Numerators as per given numbers 5330/459, 6496/773 is

GCF of Numerators i.e. for 5330,6496 is 2

LCM of denominators i.e. for 459,773 is 354807.

Thus, GCF of Fractions is 2/354807.Finally, GCF of Fractions for 5330/459, 6496/773 is 2/354807.