GCD of 560, 145, 216, 217 Calculator

Given Input numbers are 560, 145, 216, 217

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

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

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

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 (560, 145, 216, 217) = 1.

Given numbers are 560, 145, 216, 217

The list of prime factors of all numbers are

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 145 are 5 x 29

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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 560, 145, 216, 217

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

Apply this formula for all numbers.

Step1:

LCM(560, 145) = 16240

GCD(560, 145) = ( 560 x 145 ) / 16240

= 560 / 145

= 560

Step2:

LCM(5, 216) = 1080

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

= 5 / 216

= 5

Step3:

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

= 1 / 217

= 1

So, Greatest Common Divisor of 560, 145, 216, 217 is 1

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• GCD of 734, 441, 239, 222
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Given numbers are 560, 145, 216, 217
The greatest common divisor of numbers 560, 145, 216, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 145, 216, 217 is 1.

1. What is the GCD of 560, 145, 216, 217?

GCD of given numbers 560, 145, 216, 217 is 1

2. How to calculate the greatest common divisor of 560, 145, 216, 217?

We can find the highest common divisor of 560, 145, 216, 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 560, 145, 216, 217 i.e 1.

3. How can I use the GCD of 560, 145, 216, 217Calculator?

Out the numbers 560, 145, 216, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.