GCD of 534, 169, 74 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 534, 169, 74 i.e. 1 largest integer that divides all the numbers equally.

GCD of 534, 169, 74 is 1

GCD(534, 169, 74) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 534, 169, 74 is 1

GCD(534, 169, 74) = 1

GCD of 534,169,74 Calculator

GCDof 534,169,74 is 1

Given Input numbers are 534, 169, 74

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Greatest Common Divisior

We found the divisors of 534, 169, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 169, 74 is 1.

Therefore, GCD of numbers 534, 169, 74 is 1

Finding GCD of 534, 169, 74 using Prime Factorization

Given Input Data is 534, 169, 74

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 169 is 13 x 13

Prime Factorization of 74 is 2 x 37

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 534, 169, 74 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(534, 169) = 90246

GCD(534, 169) = ( 534 x 169 ) / 90246

GCD(534, 169) = 90246 / 90246

GCD(534, 169) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

GCD of 534, 169, 74 is 1

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FAQs on GCD of numbers 534, 169, 74

1. What is the GCD of 534, 169, 74?

GCD of 534, 169, 74 is 1

2. Where do I get the detailed procedure to find GCD of 534, 169, 74?

You can find a detailed procedure to find GCD of 534, 169, 74 on our page.

3. How to find GCD of 534, 169, 74 on a calculator?

You can find the GCD of 534, 169, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.