Greatest Common Factor of 740/905, 4320/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 740/905, 4320/415

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 740/905,4320/415

Given fractions are 740/905,4320/415

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 740,4320

Greatest Common Factor of Numerators i.e. GCF of 740,4320 is 20 .

LCM of Denominators means LCM of 905,415 as per the given fractions.

LCM of 905,415 is 75115 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 740,4320

GCF of Fractions 740/905,4320/415 is 20/75115

2 740, 4320
2 370, 2160
5 185, 1080
37, 216

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 740,4320 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,4320 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 4320

List of positive integer factors of 4320 that divides 4320 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,72,80,90,96,108,120,135,144,160,180,216,240,270,288,360,432,480,540,720,864,1080,1440,2160,4320

Greatest Common Factor

We found the factors 740,4320 . The biggest common factor number is the GCF number.
So the greatest common factor 740,4320 is 20.

Lets's calculate LCM of 905,415

5 905, 415
181, 83

∴ So the LCM of the given numbers is 5 x 181 x 83 = 75115

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/75115

Therefore, the GCF of Fractions 740/905,4320/415 is 20/75115

Least Common Multiple of 905,415 with GCF Formula

Least Common Multiple of 905,415 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 905,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,415) = 5

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

GCF(905,415) x common factors =5 x 1 = 5

LCM(905,415) = ( 905 × 415 ) / 5

LCM(905,415) = 375575 / 5

LCM(905,415) = 75115


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 740/905, 4320/415

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 740/905, 4320/415?

Answer: GCF of Numerators as per given numbers 740/905, 4320/415 is

GCF of Numerators i.e. for 740,4320 is 20

LCM of denominators i.e. for 905,415 is 75115.

Thus, GCF of Fractions is 20/75115.Finally, GCF of Fractions for 740/905, 4320/415 is 20/75115.