Greatest Common Factor of 429/270, 585/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 429/270, 585/525

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 429/270,585/525

Given fractions are 429/270,585/525

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 429,585

Greatest Common Factor of Numerators i.e. GCF of 429,585 is 39 .

LCM of Denominators means LCM of 270,525 as per the given fractions.

LCM of 270,525 is 9450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 429,585

GCF of Fractions 429/270,585/525 is 39/9450

3 429, 585
13 143, 195
11, 15

∴ So the GCF of the given numbers is 3 x 13 = 39

Greatest Common Factor of 429,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,585 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

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 429,585 . The biggest common factor number is the GCF number.
So the greatest common factor 429,585 is 39.

Lets's calculate LCM of 270,525

3 270, 525
5 90, 175
18, 35

∴ So the LCM of the given numbers is 3 x 5 x 18 x 35 = 9450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/9450

Therefore, the GCF of Fractions 429/270,585/525 is 39/9450

Least Common Multiple of 270,525 with GCF Formula

Least Common Multiple of 270,525 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 270,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,525) = 15

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

GCF(270,525) x common factors =15 x 1 = 15

LCM(270,525) = ( 270 × 525 ) / 15

LCM(270,525) = 141750 / 15

LCM(270,525) = 9450


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 429/270, 585/525

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 429/270, 585/525?

Answer: GCF of Numerators as per given numbers 429/270, 585/525 is

GCF of Numerators i.e. for 429,585 is 39

LCM of denominators i.e. for 270,525 is 9450.

Thus, GCF of Fractions is 39/9450.Finally, GCF of Fractions for 429/270, 585/525 is 39/9450.