Greatest Common Factor of 3306/964, 4701/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3306/964, 4701/805

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 3306/964,4701/805

Given fractions are 3306/964,4701/805

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 3306,4701

Greatest Common Factor of Numerators i.e. GCF of 3306,4701 is 3 .

LCM of Denominators means LCM of 964,805 as per the given fractions.

LCM of 964,805 is 776020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3306,4701

GCF of Fractions 3306/964,4701/805 is 3/776020

3 3306, 4701
1102, 1567

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3306,4701 By Matching Biggest Common Factor Method

Greatest Common Factor of 3306,4701 By Matching Biggest Common Factor Method

Factors of 3306

List of positive integer factors of 3306 that divides 3306 without a remainder.

1,2,3,6,19,29,38,57,58,87,114,174,551,1102,1653,3306

Factors of 4701

List of positive integer factors of 4701 that divides 4701 without a remainder.

1,3,1567,4701

Greatest Common Factor

We found the factors 3306,4701 . The biggest common factor number is the GCF number.
So the greatest common factor 3306,4701 is 3.

Lets's calculate LCM of 964,805

Given numbers has no common factors except 1. So, there LCM is their product i.e 776020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/776020

Therefore, the GCF of Fractions 3306/964,4701/805 is 3/776020

Least Common Multiple of 964,805 with GCF Formula

Least Common Multiple of 964,805 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 964,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,805) = 1

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

GCF(964,805) x common factors =1 x 1 = 1

LCM(964,805) = ( 964 × 805 ) / 1

LCM(964,805) = 776020 / 1

LCM(964,805) = 776020


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 3306/964, 4701/805

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 3306/964, 4701/805?

Answer: GCF of Numerators as per given numbers 3306/964, 4701/805 is

GCF of Numerators i.e. for 3306,4701 is 3

LCM of denominators i.e. for 964,805 is 776020.

Thus, GCF of Fractions is 3/776020.Finally, GCF of Fractions for 3306/964, 4701/805 is 3/776020.