GCD of 200, 123, 552, 272 Calculator

Given Input numbers are 200, 123, 552, 272

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 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

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 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

GCD of numbers is the greatest common divisor

So, the GCD (200, 123, 552, 272) = 1.

Given numbers are 200, 123, 552, 272

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 123 are 3 x 41

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

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 200, 123, 552, 272

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

Apply this formula for all numbers.

Step1:

LCM(200, 123) = 24600

GCD(200, 123) = ( 200 x 123 ) / 24600

= 200 / 123

= 200

Step2:

LCM(1, 552) = 552

GCD(1, 552) = ( 1 x 552 ) / 552

= 1 / 552

= 1

Step3:

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

= 1 / 272

= 1

So, Greatest Common Divisor of 200, 123, 552, 272 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 944, 485, 515
• GCD of 458, 299, 565, 458
• GCD of 552, 579, 755, 101
• GCD of 971, 925, 368, 498
• GCD of 149, 383, 173, 105

Given numbers are 200, 123, 552, 272
The greatest common divisor of numbers 200, 123, 552, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 123, 552, 272 is 1.

1. What is the GCD of 200, 123, 552, 272?

GCD of given numbers 200, 123, 552, 272 is 1

2. How to calculate the greatest common divisor of 200, 123, 552, 272?

We can find the highest common divisor of 200, 123, 552, 272 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, 123, 552, 272 i.e 1.

3. How can I use the GCD of 200, 123, 552, 272Calculator?

Out the numbers 200, 123, 552, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.