GCD of 446, 596, 39, 148 Calculator

Given Input numbers are 446, 596, 39, 148

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 148

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

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 446, 596, 39, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 596, 39, 148 is 1.

Therefore, GCD of numbers 446, 596, 39, 148 is 1

Given Input Data is 446, 596, 39, 148

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 39 is 3 x 13

Prime Factorization of 148 is 2 x 2 x 37

The above numbers do not have any common prime factor. So GCD is 1

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(446, 596) = 132908

GCD(446, 596) = ( 446 x 596 ) / 132908

GCD(446, 596) = 265816 / 132908

GCD(446, 596) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 446, 596, 39, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 695, 486, 54, 864
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• GCD of 931, 505, 43, 394
• GCD of 238, 289, 64, 679
• GCD of 624, 849, 55, 926

1. What is the GCD of 446, 596, 39, 148?

GCD of 446, 596, 39, 148 is 1

2. Where do I get the detailed procedure to find GCD of 446, 596, 39, 148?

You can find a detailed procedure to find GCD of 446, 596, 39, 148 on our page.

3. How to find GCD of 446, 596, 39, 148 on a calculator?

You can find the GCD of 446, 596, 39, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.