GCD of 200, 972, 552, 820 Calculator

Given Input numbers are 200, 972, 552, 820

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (200, 972, 552, 820) = 4.

Given numbers are 200, 972, 552, 820

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Prime factors of 820 are 2 x 2 x 5 x 41

The highest common occurrence is 2²

Therefore, GCD of 200, 972, 552, 820 is 4.

Given numbers are 200, 972, 552, 820

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

Apply this formula for all numbers.

Step1:

LCM(200, 972) = 48600

GCD(200, 972) = ( 200 x 972 ) / 48600

= 200 / 972

= 200

Step2:

LCM(4, 552) = 552

GCD(4, 552) = ( 4 x 552 ) / 552

= 4 / 552

= 4

Step3:

LCM(4, 820) = 820

GCD(4, 820) = ( 4 x 820 ) / 820

= 4 / 820

= 4

So, Greatest Common Divisor of 200, 972, 552, 820 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 562, 340, 601, 963
• GCD of 696, 389, 258, 117
• GCD of 752, 501, 985, 992
• GCD of 686, 474, 407, 219
• GCD of 724, 708, 886, 423

Given numbers are 200, 972, 552, 820
The greatest common divisor of numbers 200, 972, 552, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 972, 552, 820 is 4.

1. What is the GCD of 200, 972, 552, 820?

GCD of given numbers 200, 972, 552, 820 is 4

2. How to calculate the greatest common divisor of 200, 972, 552, 820?

We can find the highest common divisor of 200, 972, 552, 820 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 200, 972, 552, 820 i.e 4.

3. How can I use the GCD of 200, 972, 552, 820Calculator?

Out the numbers 200, 972, 552, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.