GCD of 596, 152, 146, 180 Calculator

Given Input numbers are 596, 152, 146, 180

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

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 152 :

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

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

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (596, 152, 146, 180) = 2.

Given numbers are 596, 152, 146, 180

The list of prime factors of all numbers are

Prime factors of 596 are 2 x 2 x 149

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

Prime factors of 146 are 2 x 73

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 596, 152, 146, 180 is 2.

Given numbers are 596, 152, 146, 180

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

Apply this formula for all numbers.

Step1:

LCM(596, 152) = 22648

GCD(596, 152) = ( 596 x 152 ) / 22648

= 596 / 152

= 596

Step2:

LCM(4, 146) = 292

GCD(4, 146) = ( 4 x 146 ) / 292

= 4 / 146

= 4

Step3:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

So, Greatest Common Divisor of 596, 152, 146, 180 is 2

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Given numbers are 596, 152, 146, 180
The greatest common divisor of numbers 596, 152, 146, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 596, 152, 146, 180 is 2.

1. What is the GCD of 596, 152, 146, 180?

GCD of given numbers 596, 152, 146, 180 is 2

2. How to calculate the greatest common divisor of 596, 152, 146, 180?

We can find the highest common divisor of 596, 152, 146, 180 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 596, 152, 146, 180 i.e 2.

3. How can I use the GCD of 596, 152, 146, 180Calculator?

Out the numbers 596, 152, 146, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.