GCD of 72, 534, 356, 426 Calculator

Given Input numbers are 72, 534, 356, 426

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Greatest Common Divisior

We found the divisors of 72, 534, 356, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 534, 356, 426 is 2.

Therefore, GCD of numbers 72, 534, 356, 426 is 2

Given Input Data is 72, 534, 356, 426

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 426 is 2 x 3 x 71

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(72, 534) = 6408

GCD(72, 534) = ( 72 x 534 ) / 6408

GCD(72, 534) = 38448 / 6408

GCD(72, 534) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 356

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

LCM(6, 356) = 1068

GCD(6, 356) = ( 6 x 356 ) / 1068

GCD(6, 356) = 2136 / 1068

GCD(6, 356) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 426

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

LCM(2, 426) = 426

GCD(2, 426) = ( 2 x 426 ) / 426

GCD(2, 426) = 852 / 426

GCD(2, 426) = 2

GCD of 72, 534, 356, 426 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 441, 880, 674
• GCD of 21, 622, 425, 723
• GCD of 52, 565, 501, 670
• GCD of 48, 196, 812, 316
• GCD of 59, 540, 990, 910

1. What is the GCD of 72, 534, 356, 426?

GCD of 72, 534, 356, 426 is 2

2. Where do I get the detailed procedure to find GCD of 72, 534, 356, 426?

You can find a detailed procedure to find GCD of 72, 534, 356, 426 on our page.

3. How to find GCD of 72, 534, 356, 426 on a calculator?

You can find the GCD of 72, 534, 356, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.