GCD of 202, 270, 438, 600 Calculator

Given Input numbers are 202, 270, 438, 600

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

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

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 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

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

GCD of numbers is the greatest common divisor

So, the GCD (202, 270, 438, 600) = 2.

Given numbers are 202, 270, 438, 600

The list of prime factors of all numbers are

Prime factors of 202 are 2 x 101

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 438 are 2 x 3 x 73

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

The highest common occurrence is 2¹

Therefore, GCD of 202, 270, 438, 600 is 2.

Given numbers are 202, 270, 438, 600

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

Apply this formula for all numbers.

Step1:

LCM(202, 270) = 27270

GCD(202, 270) = ( 202 x 270 ) / 27270

= 202 / 270

= 202

Step2:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2

Step3:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

So, Greatest Common Divisor of 202, 270, 438, 600 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 718, 931, 328, 711
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• GCD of 732, 645, 328, 105
• GCD of 218, 578, 418, 710
• GCD of 316, 731, 959, 807

Given numbers are 202, 270, 438, 600
The greatest common divisor of numbers 202, 270, 438, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 202, 270, 438, 600 is 2.

1. What is the GCD of 202, 270, 438, 600?

GCD of given numbers 202, 270, 438, 600 is 2

2. How to calculate the greatest common divisor of 202, 270, 438, 600?

We can find the highest common divisor of 202, 270, 438, 600 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 202, 270, 438, 600 i.e 2.

3. How can I use the GCD of 202, 270, 438, 600Calculator?

Out the numbers 202, 270, 438, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.