GCD of 600, 269, 738, 216 Calculator

Given Input numbers are 600, 269, 738, 216

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 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD of numbers is the greatest common divisor

So, the GCD (600, 269, 738, 216) = 1.

Given numbers are 600, 269, 738, 216

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 269 are 269

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 600, 269, 738, 216

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

Apply this formula for all numbers.

Step1:

LCM(600, 269) = 161400

GCD(600, 269) = ( 600 x 269 ) / 161400

= 600 / 269

= 600

Step2:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1

Step3:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1

So, Greatest Common Divisor of 600, 269, 738, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 364, 917, 890
• GCD of 549, 611, 614, 762
• GCD of 331, 983, 793, 804
• GCD of 673, 162, 855, 154
• GCD of 138, 903, 888, 393

Given numbers are 600, 269, 738, 216
The greatest common divisor of numbers 600, 269, 738, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 269, 738, 216 is 1.

1. What is the GCD of 600, 269, 738, 216?

GCD of given numbers 600, 269, 738, 216 is 1

2. How to calculate the greatest common divisor of 600, 269, 738, 216?

We can find the highest common divisor of 600, 269, 738, 216 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, 269, 738, 216 i.e 1.

3. How can I use the GCD of 600, 269, 738, 216Calculator?

Out the numbers 600, 269, 738, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.