GCD of 596, 466, 120, 752 Calculator

Given Input numbers are 596, 466, 120, 752

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 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

GCD of numbers is the greatest common divisor

So, the GCD (596, 466, 120, 752) = 2.

Given numbers are 596, 466, 120, 752

The list of prime factors of all numbers are

Prime factors of 596 are 2 x 2 x 149

Prime factors of 466 are 2 x 233

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 596, 466, 120, 752 is 2.

Given numbers are 596, 466, 120, 752

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

Apply this formula for all numbers.

Step1:

LCM(596, 466) = 138868

GCD(596, 466) = ( 596 x 466 ) / 138868

= 596 / 466

= 596

Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

Step3:

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

= 2 / 752

= 2

So, Greatest Common Divisor of 596, 466, 120, 752 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 498, 157, 867
• GCD of 969, 831, 428, 406
• GCD of 470, 123, 150, 184
• GCD of 395, 271, 348, 144
• GCD of 419, 878, 567, 331

Given numbers are 596, 466, 120, 752
The greatest common divisor of numbers 596, 466, 120, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 596, 466, 120, 752 is 2.

1. What is the GCD of 596, 466, 120, 752?

GCD of given numbers 596, 466, 120, 752 is 2

2. How to calculate the greatest common divisor of 596, 466, 120, 752?

We can find the highest common divisor of 596, 466, 120, 752 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, 466, 120, 752 i.e 2.

3. How can I use the GCD of 596, 466, 120, 752Calculator?

Out the numbers 596, 466, 120, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.