Greatest Common Factor of 745/87, 165/28, 590/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 745/87, 165/28, 590/40

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 745/87,165/28,590/40

Given fractions are 745/87,165/28,590/40

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 745,165,590

Greatest Common Factor of Numerators i.e. GCF of 745,165,590 is 5 .

LCM of Denominators means LCM of 87,28,40 as per the given fractions.

LCM of 87,28,40 is 24360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 745,165,590

GCF of Fractions 745/87,165/28,590/40 is 5/24360

5 745, 165, 590
149, 33, 118

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 745,165,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 745,165,590 By Matching Biggest Common Factor Method

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 745,165,590 . The biggest common factor number is the GCF number.
So the greatest common factor 745,165,590 is 5.

Lets's calculate LCM of 87,28,40

2 87, 28, 40
2 87, 14, 20
87, 7, 10

∴ So the LCM of the given numbers is 2 x 2 x 87 x 7 x 10 = 24360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/24360

Therefore, the GCF of Fractions 745/87,165/28,590/40 is 5/24360

Least Common Multiple of 87,28,40 with GCF Formula

Least Common Multiple of 87,28,40 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 87,28,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,28,40) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(87,28,40) x common factors =1 x 4 = 4

LCM(87,28,40) = ( 87 × 28 × 40 ) / 4

LCM(87,28,40) = 97440 / 4

LCM(87,28,40) = 24360


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 745/87, 165/28, 590/40

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 745/87, 165/28, 590/40?

Answer: GCF of Numerators as per given numbers 745/87, 165/28, 590/40 is

GCF of Numerators i.e. for 745,165,590 is 5

LCM of denominators i.e. for 87,28,40 is 24360.

Thus, GCF of Fractions is 5/24360.Finally, GCF of Fractions for 745/87, 165/28, 590/40 is 5/24360.