Greatest Common Factor of 25/16, 30/46, 585/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 25/16, 30/46, 585/460

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 25/16,30/46,585/460

Given fractions are 25/16,30/46,585/460

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 25,30,585

Greatest Common Factor of Numerators i.e. GCF of 25,30,585 is 5 .

LCM of Denominators means LCM of 16,46,460 as per the given fractions.

LCM of 16,46,460 is 1840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 25,30,585

GCF of Fractions 25/16,30/46,585/460 is 5/1840

5 25, 30, 585
5, 6, 117

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

Greatest Common Factor of 25,30,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,30,585 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 25,30,585 . The biggest common factor number is the GCF number.
So the greatest common factor 25,30,585 is 5.

Lets's calculate LCM of 16,46,460

2 16, 46, 460
2 8, 23, 230
23 4, 23, 115
4, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 23 x 4 x 1 x 5 = 1840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1840

Therefore, the GCF of Fractions 25/16,30/46,585/460 is 5/1840

Least Common Multiple of 16,46,460 with GCF Formula

Least Common Multiple of 16,46,460 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 16,46,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,46,460) = 2

common factors(in case of two or more numbers have common factors) = 92

GCF(16,46,460) x common factors =2 x 92 = 184

LCM(16,46,460) = ( 16 × 46 × 460 ) / 184

LCM(16,46,460) = 338560 / 184

LCM(16,46,460) = 1840


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 25/16, 30/46, 585/460

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 25/16, 30/46, 585/460?

Answer: GCF of Numerators as per given numbers 25/16, 30/46, 585/460 is

GCF of Numerators i.e. for 25,30,585 is 5

LCM of denominators i.e. for 16,46,460 is 1840.

Thus, GCF of Fractions is 5/1840.Finally, GCF of Fractions for 25/16, 30/46, 585/460 is 5/1840.