Greatest Common Factor of 761/65, 888/72, 593/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 761/65, 888/72, 593/552

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 761/65,888/72,593/552

Given fractions are 761/65,888/72,593/552

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 761,888,593

Greatest Common Factor of Numerators i.e. GCF of 761,888,593 is 1 .

LCM of Denominators means LCM of 65,72,552 as per the given fractions.

LCM of 65,72,552 is 107640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 761,888,593

GCF of Fractions 761/65,888/72,593/552 is 1/107640

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

Greatest Common Factor of 761,888,593 By Matching Biggest Common Factor Method

Greatest Common Factor of 761,888,593 By Matching Biggest Common Factor Method

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Greatest Common Factor

We found the factors 761,888,593 . The biggest common factor number is the GCF number.
So the greatest common factor 761,888,593 is 1.

Lets's calculate LCM of 65,72,552

2 65, 72, 552
2 65, 36, 276
2 65, 18, 138
3 65, 9, 69
65, 3, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 65 x 3 x 23 = 107640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107640

Therefore, the GCF of Fractions 761/65,888/72,593/552 is 1/107640

Least Common Multiple of 65,72,552 with GCF Formula

Least Common Multiple of 65,72,552 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 65,72,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,72,552) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(65,72,552) x common factors =1 x 24 = 24

LCM(65,72,552) = ( 65 × 72 × 552 ) / 24

LCM(65,72,552) = 2583360 / 24

LCM(65,72,552) = 107640


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 761/65, 888/72, 593/552

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 761/65, 888/72, 593/552?

Answer: GCF of Numerators as per given numbers 761/65, 888/72, 593/552 is

GCF of Numerators i.e. for 761,888,593 is 1

LCM of denominators i.e. for 65,72,552 is 107640.

Thus, GCF of Fractions is 1/107640.Finally, GCF of Fractions for 761/65, 888/72, 593/552 is 1/107640.