GCD of 600, 270, 206, 208 Calculator

Given Input numbers are 600, 270, 206, 208

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 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

GCD of numbers is the greatest common divisor

So, the GCD (600, 270, 206, 208) = 2.

Given numbers are 600, 270, 206, 208

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 206 are 2 x 103

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

The highest common occurrence is 2¹

Therefore, GCD of 600, 270, 206, 208 is 2.

Given numbers are 600, 270, 206, 208

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, 206) = 3090

GCD(30, 206) = ( 30 x 206 ) / 3090

= 30 / 206

= 30

Step3:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2

So, Greatest Common Divisor of 600, 270, 206, 208 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 739, 951, 649, 152
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• GCD of 305, 368, 415, 875
• GCD of 906, 664, 900, 599

Given numbers are 600, 270, 206, 208
The greatest common divisor of numbers 600, 270, 206, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 270, 206, 208 is 2.

1. What is the GCD of 600, 270, 206, 208?

GCD of given numbers 600, 270, 206, 208 is 2

2. How to calculate the greatest common divisor of 600, 270, 206, 208?

We can find the highest common divisor of 600, 270, 206, 208 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, 206, 208 i.e 2.

3. How can I use the GCD of 600, 270, 206, 208Calculator?

Out the numbers 600, 270, 206, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.