Greatest Common Factor of 95/384, 580/915, 105/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/384, 580/915, 105/870

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 95/384,580/915,105/870

Given fractions are 95/384,580/915,105/870

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 95,580,105

Greatest Common Factor of Numerators i.e. GCF of 95,580,105 is 5 .

LCM of Denominators means LCM of 384,915,870 as per the given fractions.

LCM of 384,915,870 is 3396480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,580,105

GCF of Fractions 95/384,580/915,105/870 is 5/3396480

5 95, 580, 105
19, 116, 21

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

Greatest Common Factor of 95,580,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,580,105 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 95,580,105 . The biggest common factor number is the GCF number.
So the greatest common factor 95,580,105 is 5.

Lets's calculate LCM of 384,915,870

2 384, 915, 870
3 192, 915, 435
5 64, 305, 145
64, 61, 29

∴ So the LCM of the given numbers is 2 x 3 x 5 x 64 x 61 x 29 = 3396480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3396480

Therefore, the GCF of Fractions 95/384,580/915,105/870 is 5/3396480

Least Common Multiple of 384,915,870 with GCF Formula

Least Common Multiple of 384,915,870 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 384,915,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,915,870) = 3

common factors(in case of two or more numbers have common factors) = 30

GCF(384,915,870) x common factors =3 x 30 = 90

LCM(384,915,870) = ( 384 × 915 × 870 ) / 90

LCM(384,915,870) = 305683200 / 90

LCM(384,915,870) = 3396480


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 95/384, 580/915, 105/870

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 95/384, 580/915, 105/870?

Answer: GCF of Numerators as per given numbers 95/384, 580/915, 105/870 is

GCF of Numerators i.e. for 95,580,105 is 5

LCM of denominators i.e. for 384,915,870 is 3396480.

Thus, GCF of Fractions is 5/3396480.Finally, GCF of Fractions for 95/384, 580/915, 105/870 is 5/3396480.