Greatest Common Factor of 3356/80, 6468/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3356/80, 6468/533

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 3356/80,6468/533

Given fractions are 3356/80,6468/533

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 3356,6468

Greatest Common Factor of Numerators i.e. GCF of 3356,6468 is 4 .

LCM of Denominators means LCM of 80,533 as per the given fractions.

LCM of 80,533 is 42640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3356,6468

GCF of Fractions 3356/80,6468/533 is 4/42640

2 3356, 6468
2 1678, 3234
839, 1617

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

Greatest Common Factor of 3356,6468 By Matching Biggest Common Factor Method

Greatest Common Factor of 3356,6468 By Matching Biggest Common Factor Method

Factors of 3356

List of positive integer factors of 3356 that divides 3356 without a remainder.

1,2,4,839,1678,3356

Factors of 6468

List of positive integer factors of 6468 that divides 6468 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,49,66,77,84,98,132,147,154,196,231,294,308,462,539,588,924,1078,1617,2156,3234,6468

Greatest Common Factor

We found the factors 3356,6468 . The biggest common factor number is the GCF number.
So the greatest common factor 3356,6468 is 4.

Lets's calculate LCM of 80,533

Given numbers has no common factors except 1. So, there LCM is their product i.e 42640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/42640

Therefore, the GCF of Fractions 3356/80,6468/533 is 4/42640

Least Common Multiple of 80,533 with GCF Formula

Least Common Multiple of 80,533 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 80,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,533) = 1

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

GCF(80,533) x common factors =1 x 1 = 1

LCM(80,533) = ( 80 × 533 ) / 1

LCM(80,533) = 42640 / 1

LCM(80,533) = 42640


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 3356/80, 6468/533

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 3356/80, 6468/533?

Answer: GCF of Numerators as per given numbers 3356/80, 6468/533 is

GCF of Numerators i.e. for 3356,6468 is 4

LCM of denominators i.e. for 80,533 is 42640.

Thus, GCF of Fractions is 4/42640.Finally, GCF of Fractions for 3356/80, 6468/533 is 4/42640.