GCD of 600, 189, 298, 211 Calculator

Given Input numbers are 600, 189, 298, 211

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

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 211 :

The positive integer divisors of 211 that completely divides 211 are.

1, 211

GCD of numbers is the greatest common divisor

So, the GCD (600, 189, 298, 211) = 1.

Given numbers are 600, 189, 298, 211

The list of prime factors of all numbers are

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

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 298 are 2 x 149

Prime factors of 211 are 211

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

Given numbers are 600, 189, 298, 211

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

Apply this formula for all numbers.

Step1:

LCM(600, 189) = 37800

GCD(600, 189) = ( 600 x 189 ) / 37800

= 600 / 189

= 600

Step2:

LCM(3, 298) = 894

GCD(3, 298) = ( 3 x 298 ) / 894

= 3 / 298

= 3

Step3:

LCM(1, 211) = 211

GCD(1, 211) = ( 1 x 211 ) / 211

= 1 / 211

= 1

So, Greatest Common Divisor of 600, 189, 298, 211 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 178, 870, 485
• GCD of 827, 705, 993, 321
• GCD of 469, 978, 461, 872
• GCD of 598, 824, 133, 627
• GCD of 463, 540, 588, 588

Given numbers are 600, 189, 298, 211
The greatest common divisor of numbers 600, 189, 298, 211 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 189, 298, 211 is 1.

1. What is the GCD of 600, 189, 298, 211?

GCD of given numbers 600, 189, 298, 211 is 1

2. How to calculate the greatest common divisor of 600, 189, 298, 211?

We can find the highest common divisor of 600, 189, 298, 211 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 600, 189, 298, 211 i.e 1.

3. How can I use the GCD of 600, 189, 298, 211Calculator?

Out the numbers 600, 189, 298, 211 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.