Greatest Common Factor of 72/250, 569/859, 305/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/250, 569/859, 305/965

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 72/250,569/859,305/965

Given fractions are 72/250,569/859,305/965

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 72,569,305

Greatest Common Factor of Numerators i.e. GCF of 72,569,305 is 1 .

LCM of Denominators means LCM of 250,859,965 as per the given fractions.

LCM of 250,859,965 is 41446750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,569,305

GCF of Fractions 72/250,569/859,305/965 is 1/41446750

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

Greatest Common Factor of 72,569,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,569,305 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 72,569,305 . The biggest common factor number is the GCF number.
So the greatest common factor 72,569,305 is 1.

Lets's calculate LCM of 250,859,965

5 250, 859, 965
50, 859, 193

∴ So the LCM of the given numbers is 5 x 50 x 859 x 193 = 41446750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41446750

Therefore, the GCF of Fractions 72/250,569/859,305/965 is 1/41446750

Least Common Multiple of 250,859,965 with GCF Formula

Least Common Multiple of 250,859,965 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 250,859,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,859,965) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(250,859,965) x common factors =1 x 5 = 5

LCM(250,859,965) = ( 250 × 859 × 965 ) / 5

LCM(250,859,965) = 207233750 / 5

LCM(250,859,965) = 41446750


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 72/250, 569/859, 305/965

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 72/250, 569/859, 305/965?

Answer: GCF of Numerators as per given numbers 72/250, 569/859, 305/965 is

GCF of Numerators i.e. for 72,569,305 is 1

LCM of denominators i.e. for 250,859,965 is 41446750.

Thus, GCF of Fractions is 1/41446750.Finally, GCF of Fractions for 72/250, 569/859, 305/965 is 1/41446750.