GCD of 152, 904, 402, 608 Calculator

Given Input numbers are 152, 904, 402, 608

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 152, 904, 402, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 904, 402, 608 is 2.

Therefore, GCD of numbers 152, 904, 402, 608 is 2

Given Input Data is 152, 904, 402, 608

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

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(152, 904) = 17176

GCD(152, 904) = ( 152 x 904 ) / 17176

GCD(152, 904) = 137408 / 17176

GCD(152, 904) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 402

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

LCM(8, 402) = 1608

GCD(8, 402) = ( 8 x 402 ) / 1608

GCD(8, 402) = 3216 / 1608

GCD(8, 402) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 608

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

LCM(2, 608) = 608

GCD(2, 608) = ( 2 x 608 ) / 608

GCD(2, 608) = 1216 / 608

GCD(2, 608) = 2

GCD of 152, 904, 402, 608 is 2

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1. What is the GCD of 152, 904, 402, 608?

GCD of 152, 904, 402, 608 is 2

2. Where do I get the detailed procedure to find GCD of 152, 904, 402, 608?

You can find a detailed procedure to find GCD of 152, 904, 402, 608 on our page.

3. How to find GCD of 152, 904, 402, 608 on a calculator?

You can find the GCD of 152, 904, 402, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.