GCD of 438, 120, 514, 600 Calculator

Given Input numbers are 438, 120, 514, 600

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

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 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (438, 120, 514, 600) = 2.

Given numbers are 438, 120, 514, 600

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

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

Prime factors of 514 are 2 x 257

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 438, 120, 514, 600 is 2.

Given numbers are 438, 120, 514, 600

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

Apply this formula for all numbers.

Step1:

LCM(438, 120) = 8760

GCD(438, 120) = ( 438 x 120 ) / 8760

= 438 / 120

= 438

Step2:

LCM(6, 514) = 1542

GCD(6, 514) = ( 6 x 514 ) / 1542

= 6 / 514

= 6

Step3:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

So, Greatest Common Divisor of 438, 120, 514, 600 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 291, 132, 411, 472
• GCD of 218, 188, 624, 479
• GCD of 220, 500, 736, 680
• GCD of 653, 708, 870, 600
• GCD of 596, 957, 287, 297

Given numbers are 438, 120, 514, 600
The greatest common divisor of numbers 438, 120, 514, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 120, 514, 600 is 2.

1. What is the GCD of 438, 120, 514, 600?

GCD of given numbers 438, 120, 514, 600 is 2

2. How to calculate the greatest common divisor of 438, 120, 514, 600?

We can find the highest common divisor of 438, 120, 514, 600 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 438, 120, 514, 600 i.e 2.

3. How can I use the GCD of 438, 120, 514, 600Calculator?

Out the numbers 438, 120, 514, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.