GCD of 534, 369, 69, 585 Calculator

Given Input numbers are 534, 369, 69, 585

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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 585

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

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

Greatest Common Divisior

We found the divisors of 534, 369, 69, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 369, 69, 585 is 3.

Therefore, GCD of numbers 534, 369, 69, 585 is 3

Given Input Data is 534, 369, 69, 585

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 369 is 3 x 3 x 41

Prime Factorization of 69 is 3 x 23

Prime Factorization of 585 is 3 x 3 x 5 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 369) = 65682

GCD(534, 369) = ( 534 x 369 ) / 65682

GCD(534, 369) = 197046 / 65682

GCD(534, 369) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 69

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

LCM(3, 69) = 69

GCD(3, 69) = ( 3 x 69 ) / 69

GCD(3, 69) = 207 / 69

GCD(3, 69) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 585

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

LCM(3, 585) = 585

GCD(3, 585) = ( 3 x 585 ) / 585

GCD(3, 585) = 1755 / 585

GCD(3, 585) = 3

GCD of 534, 369, 69, 585 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 152, 19, 868
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• GCD of 556, 268, 42, 479
• GCD of 625, 932, 37, 143
• GCD of 799, 135, 22, 800

1. What is the GCD of 534, 369, 69, 585?

GCD of 534, 369, 69, 585 is 3

2. Where do I get the detailed procedure to find GCD of 534, 369, 69, 585?

You can find a detailed procedure to find GCD of 534, 369, 69, 585 on our page.

3. How to find GCD of 534, 369, 69, 585 on a calculator?

You can find the GCD of 534, 369, 69, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.