Greatest Common Factor of 533/532, 429/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 533/532, 429/460

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 533/532,429/460

Given fractions are 533/532,429/460

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 533,429

Greatest Common Factor of Numerators i.e. GCF of 533,429 is 13 .

LCM of Denominators means LCM of 532,460 as per the given fractions.

LCM of 532,460 is 61180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 533,429

GCF of Fractions 533/532,429/460 is 13/61180

13 533, 429
41, 33

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 533,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 533,429 By Matching Biggest Common Factor Method

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 429

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

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

Greatest Common Factor

We found the factors 533,429 . The biggest common factor number is the GCF number.
So the greatest common factor 533,429 is 13.

Lets's calculate LCM of 532,460

2 532, 460
2 266, 230
133, 115

∴ So the LCM of the given numbers is 2 x 2 x 133 x 115 = 61180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/61180

Therefore, the GCF of Fractions 533/532,429/460 is 13/61180

Least Common Multiple of 532,460 with GCF Formula

Least Common Multiple of 532,460 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 532,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,460) = 4

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

GCF(532,460) x common factors =4 x 1 = 4

LCM(532,460) = ( 532 × 460 ) / 4

LCM(532,460) = 244720 / 4

LCM(532,460) = 61180


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 533/532, 429/460

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 533/532, 429/460?

Answer: GCF of Numerators as per given numbers 533/532, 429/460 is

GCF of Numerators i.e. for 533,429 is 13

LCM of denominators i.e. for 532,460 is 61180.

Thus, GCF of Fractions is 13/61180.Finally, GCF of Fractions for 533/532, 429/460 is 13/61180.