GCD of 536, 148, 74, 400 Calculator

Given Input numbers are 536, 148, 74, 400

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

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 74

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

1, 2, 37, 74

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 536, 148, 74, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 148, 74, 400 is 2.

Therefore, GCD of numbers 536, 148, 74, 400 is 2

Given Input Data is 536, 148, 74, 400

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

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 74 is 2 x 37

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(536, 148) = 19832

GCD(536, 148) = ( 536 x 148 ) / 19832

GCD(536, 148) = 79328 / 19832

GCD(536, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 74

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

LCM(4, 74) = 148

GCD(4, 74) = ( 4 x 74 ) / 148

GCD(4, 74) = 296 / 148

GCD(4, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 400

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

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

GCD(2, 400) = 800 / 400

GCD(2, 400) = 2

GCD of 536, 148, 74, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 837, 30, 157
• GCD of 594, 781, 80, 422
• GCD of 978, 449, 28, 579
• GCD of 769, 184, 16, 325
• GCD of 375, 847, 11, 694

1. What is the GCD of 536, 148, 74, 400?

GCD of 536, 148, 74, 400 is 2

2. Where do I get the detailed procedure to find GCD of 536, 148, 74, 400?

You can find a detailed procedure to find GCD of 536, 148, 74, 400 on our page.

3. How to find GCD of 536, 148, 74, 400 on a calculator?

You can find the GCD of 536, 148, 74, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.