GCD of 74, 364, 536, 232 Calculator

Given Input numbers are 74, 364, 536, 232

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

Divisors of 74

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

1, 2, 37, 74

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 74, 364, 536, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 364, 536, 232 is 2.

Therefore, GCD of numbers 74, 364, 536, 232 is 2

Given Input Data is 74, 364, 536, 232

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 232 is 2 x 2 x 2 x 29

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(74, 364) = 13468

GCD(74, 364) = ( 74 x 364 ) / 13468

GCD(74, 364) = 26936 / 13468

GCD(74, 364) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 536

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

LCM(2, 536) = 536

GCD(2, 536) = ( 2 x 536 ) / 536

GCD(2, 536) = 1072 / 536

GCD(2, 536) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 232

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

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

GCD(2, 232) = 464 / 232

GCD(2, 232) = 2

GCD of 74, 364, 536, 232 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 468, 163, 832
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• GCD of 50, 780, 390, 718
• GCD of 60, 776, 835, 905
• GCD of 82, 938, 736, 695

1. What is the GCD of 74, 364, 536, 232?

GCD of 74, 364, 536, 232 is 2

2. Where do I get the detailed procedure to find GCD of 74, 364, 536, 232?

You can find a detailed procedure to find GCD of 74, 364, 536, 232 on our page.

3. How to find GCD of 74, 364, 536, 232 on a calculator?

You can find the GCD of 74, 364, 536, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.