GCD of 270, 908, 364, 217 Calculator

Given Input numbers are 270, 908, 364, 217

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

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 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

GCD of numbers is the greatest common divisor

So, the GCD (270, 908, 364, 217) = 1.

Given numbers are 270, 908, 364, 217

The list of prime factors of all numbers are

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

Prime factors of 908 are 2 x 2 x 227

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 217 are 7 x 31

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

Given numbers are 270, 908, 364, 217

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

Apply this formula for all numbers.

Step1:

LCM(270, 908) = 122580

GCD(270, 908) = ( 270 x 908 ) / 122580

= 270 / 908

= 270

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 217) = 434

GCD(2, 217) = ( 2 x 217 ) / 434

= 2 / 217

= 2

So, Greatest Common Divisor of 270, 908, 364, 217 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 877, 879, 188, 796
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Given numbers are 270, 908, 364, 217
The greatest common divisor of numbers 270, 908, 364, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 908, 364, 217 is 1.

1. What is the GCD of 270, 908, 364, 217?

GCD of given numbers 270, 908, 364, 217 is 1

2. How to calculate the greatest common divisor of 270, 908, 364, 217?

We can find the highest common divisor of 270, 908, 364, 217 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 270, 908, 364, 217 i.e 1.

3. How can I use the GCD of 270, 908, 364, 217Calculator?

Out the numbers 270, 908, 364, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.