GCD of 152, 420, 393, 598 Calculator

Given Input numbers are 152, 420, 393, 598

In the factoring method, we have to find the divisors of all numbers

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

GCD of numbers is the greatest common divisor

So, the GCD (152, 420, 393, 598) = 1.

Given numbers are 152, 420, 393, 598

The list of prime factors of all numbers are

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 393 are 3 x 131

Prime factors of 598 are 2 x 13 x 23

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

Given numbers are 152, 420, 393, 598

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(152, 420) = 15960

GCD(152, 420) = ( 152 x 420 ) / 15960

= 152 / 420

= 152

Step2:

LCM(4, 393) = 1572

GCD(4, 393) = ( 4 x 393 ) / 1572

= 4 / 393

= 4

Step3:

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

= 1 / 598

= 1

So, Greatest Common Divisor of 152, 420, 393, 598 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 585, 361, 956
• GCD of 204, 313, 176, 237
• GCD of 930, 740, 308, 584
• GCD of 848, 447, 954, 787
• GCD of 598, 512, 246, 832

Given numbers are 152, 420, 393, 598
The greatest common divisor of numbers 152, 420, 393, 598 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 420, 393, 598 is 1.

1. What is the GCD of 152, 420, 393, 598?

GCD of given numbers 152, 420, 393, 598 is 1

2. How to calculate the greatest common divisor of 152, 420, 393, 598?

We can find the highest common divisor of 152, 420, 393, 598 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 152, 420, 393, 598 i.e 1.

3. How can I use the GCD of 152, 420, 393, 598Calculator?

Out the numbers 152, 420, 393, 598 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.