GCD of 275, 360, 645, 216 Calculator

Given Input numbers are 275, 360, 645, 216

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

Divisors of 275 :

The positive integer divisors of 275 that completely divides 275 are.

1, 5, 11, 25, 55, 275

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

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 (275, 360, 645, 216) = 1.

Given numbers are 275, 360, 645, 216

The list of prime factors of all numbers are

Prime factors of 275 are 5 x 5 x 11

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 645 are 3 x 5 x 43

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 275, 360, 645, 216

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

Apply this formula for all numbers.

Step1:

LCM(275, 360) = 19800

GCD(275, 360) = ( 275 x 360 ) / 19800

= 275 / 360

= 275

Step2:

LCM(5, 645) = 645

GCD(5, 645) = ( 5 x 645 ) / 645

= 5 / 645

= 5

Step3:

LCM(5, 216) = 1080

GCD(5, 216) = ( 5 x 216 ) / 1080

= 5 / 216

= 5

So, Greatest Common Divisor of 275, 360, 645, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 501, 640, 797
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• GCD of 647, 631, 260, 667
• GCD of 302, 892, 317, 394
• GCD of 860, 543, 689, 855

Given numbers are 275, 360, 645, 216
The greatest common divisor of numbers 275, 360, 645, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 275, 360, 645, 216 is 1.

1. What is the GCD of 275, 360, 645, 216?

GCD of given numbers 275, 360, 645, 216 is 1

2. How to calculate the greatest common divisor of 275, 360, 645, 216?

We can find the highest common divisor of 275, 360, 645, 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 275, 360, 645, 216 i.e 1.

3. How can I use the GCD of 275, 360, 645, 216Calculator?

Out the numbers 275, 360, 645, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.