Greatest Common Factor of 3033/766, 3301/4130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3033/766, 3301/4130

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 3033/766,3301/4130

Given fractions are 3033/766,3301/4130

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 3033,3301

Greatest Common Factor of Numerators i.e. GCF of 3033,3301 is 1 .

LCM of Denominators means LCM of 766,4130 as per the given fractions.

LCM of 766,4130 is 1581790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3033,3301

GCF of Fractions 3033/766,3301/4130 is 1/1581790

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

Greatest Common Factor of 3033,3301 By Matching Biggest Common Factor Method

Greatest Common Factor of 3033,3301 By Matching Biggest Common Factor Method

Factors of 3033

List of positive integer factors of 3033 that divides 3033 without a remainder.

1,3,9,337,1011,3033

Factors of 3301

List of positive integer factors of 3301 that divides 3301 without a remainder.

1,3301

Greatest Common Factor

We found the factors 3033,3301 . The biggest common factor number is the GCF number.
So the greatest common factor 3033,3301 is 1.

Lets's calculate LCM of 766,4130

2 766, 4130
383, 2065

∴ So the LCM of the given numbers is 2 x 383 x 2065 = 1581790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1581790

Therefore, the GCF of Fractions 3033/766,3301/4130 is 1/1581790

Least Common Multiple of 766,4130 with GCF Formula

Least Common Multiple of 766,4130 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 766,4130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,4130) = 2

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

GCF(766,4130) x common factors =2 x 1 = 2

LCM(766,4130) = ( 766 × 4130 ) / 2

LCM(766,4130) = 3163580 / 2

LCM(766,4130) = 1581790


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 3033/766, 3301/4130

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 3033/766, 3301/4130?

Answer: GCF of Numerators as per given numbers 3033/766, 3301/4130 is

GCF of Numerators i.e. for 3033,3301 is 1

LCM of denominators i.e. for 766,4130 is 1581790.

Thus, GCF of Fractions is 1/1581790.Finally, GCF of Fractions for 3033/766, 3301/4130 is 1/1581790.