GCD of 600, 270, 252, 407 Calculator

Given Input numbers are 600, 270, 252, 407

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 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

GCD of numbers is the greatest common divisor

So, the GCD (600, 270, 252, 407) = 1.

Given numbers are 600, 270, 252, 407

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 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 407 are 11 x 37

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

Given numbers are 600, 270, 252, 407

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

Apply this formula for all numbers.

Step1:

LCM(600, 270) = 5400

GCD(600, 270) = ( 600 x 270 ) / 5400

= 600 / 270

= 600

Step2:

LCM(30, 252) = 1260

GCD(30, 252) = ( 30 x 252 ) / 1260

= 30 / 252

= 30

Step3:

LCM(6, 407) = 2442

GCD(6, 407) = ( 6 x 407 ) / 2442

= 6 / 407

= 6

So, Greatest Common Divisor of 600, 270, 252, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 128, 441, 376, 903
• GCD of 808, 570, 435, 305
• GCD of 148, 474, 384, 234
• GCD of 241, 743, 920, 516
• GCD of 274, 187, 275, 145

Given numbers are 600, 270, 252, 407
The greatest common divisor of numbers 600, 270, 252, 407 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 270, 252, 407 is 1.

1. What is the GCD of 600, 270, 252, 407?

GCD of given numbers 600, 270, 252, 407 is 1

2. How to calculate the greatest common divisor of 600, 270, 252, 407?

We can find the highest common divisor of 600, 270, 252, 407 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, 270, 252, 407 i.e 1.

3. How can I use the GCD of 600, 270, 252, 407Calculator?

Out the numbers 600, 270, 252, 407 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.