GCD of 438, 950, 552, 500 Calculator

Given Input numbers are 438, 950, 552, 500

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 950 :

The positive integer divisors of 950 that completely divides 950 are.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

GCD of numbers is the greatest common divisor

So, the GCD (438, 950, 552, 500) = 2.

Given numbers are 438, 950, 552, 500

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 950 are 2 x 5 x 5 x 19

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 438, 950, 552, 500 is 2.

Given numbers are 438, 950, 552, 500

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

Apply this formula for all numbers.

Step1:

LCM(438, 950) = 208050

GCD(438, 950) = ( 438 x 950 ) / 208050

= 438 / 950

= 438

Step2:

LCM(2, 552) = 552

GCD(2, 552) = ( 2 x 552 ) / 552

= 2 / 552

= 2

Step3:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

So, Greatest Common Divisor of 438, 950, 552, 500 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 133, 157, 876, 868
• GCD of 283, 565, 615, 884
• GCD of 340, 928, 843, 358
• GCD of 723, 842, 817, 936
• GCD of 632, 936, 332, 769

Given numbers are 438, 950, 552, 500
The greatest common divisor of numbers 438, 950, 552, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 950, 552, 500 is 2.

1. What is the GCD of 438, 950, 552, 500?

GCD of given numbers 438, 950, 552, 500 is 2

2. How to calculate the greatest common divisor of 438, 950, 552, 500?

We can find the highest common divisor of 438, 950, 552, 500 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, 950, 552, 500 i.e 2.

3. How can I use the GCD of 438, 950, 552, 500Calculator?

Out the numbers 438, 950, 552, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.