Greatest Common Factor of 33/591, 748/651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 33/591, 748/651

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 33/591,748/651

Given fractions are 33/591,748/651

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 33,748

Greatest Common Factor of Numerators i.e. GCF of 33,748 is 11 .

LCM of Denominators means LCM of 591,651 as per the given fractions.

LCM of 591,651 is 128247 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 33,748

GCF of Fractions 33/591,748/651 is 11/128247

11 33, 748
3, 68

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 33,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,748 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 33,748 . The biggest common factor number is the GCF number.
So the greatest common factor 33,748 is 11.

Lets's calculate LCM of 591,651

3 591, 651
197, 217

∴ So the LCM of the given numbers is 3 x 197 x 217 = 128247

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/128247

Therefore, the GCF of Fractions 33/591,748/651 is 11/128247

Least Common Multiple of 591,651 with GCF Formula

Least Common Multiple of 591,651 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 591,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(591,651) = 3

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

GCF(591,651) x common factors =3 x 1 = 3

LCM(591,651) = ( 591 × 651 ) / 3

LCM(591,651) = 384741 / 3

LCM(591,651) = 128247


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 33/591, 748/651

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 33/591, 748/651?

Answer: GCF of Numerators as per given numbers 33/591, 748/651 is

GCF of Numerators i.e. for 33,748 is 11

LCM of denominators i.e. for 591,651 is 128247.

Thus, GCF of Fractions is 11/128247.Finally, GCF of Fractions for 33/591, 748/651 is 11/128247.