GCD of 200, 668, 180 Calculator

Given Input numbers are 200, 668, 180

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 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (200, 668, 180) = 4.

Given numbers are 200, 668, 180

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 668 are 2 x 2 x 167

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2²

Therefore, GCD of 200, 668, 180 is 4.

Given numbers are 200, 668, 180

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

Apply this formula for all numbers.

Step1:

LCM(200, 668) = 33400

GCD(200, 668) = ( 200 x 668 ) / 33400

= 200 / 668

= 200

Step2:

LCM(4, 180) = 180

GCD(4, 180) = ( 4 x 180 ) / 180

= 4 / 180

= 4

So, Greatest Common Divisor of 200, 668, 180 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 826, 725, 134
• GCD of 551, 763, 415
• GCD of 109, 956, 201
• GCD of 508, 534, 910
• GCD of 832, 637, 336

Given numbers are 200, 668, 180
The greatest common divisor of numbers 200, 668, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 668, 180 is 4.

1. What is the GCD of 200, 668, 180?

GCD of given numbers 200, 668, 180 is 4

2. How to calculate the greatest common divisor of 200, 668, 180?

We can find the highest common divisor of 200, 668, 180 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, 668, 180 i.e 4.

3. How can I use the GCD of 200, 668, 180Calculator?

Out the numbers 200, 668, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.