GCD of 217, 525, 264, 689 Calculator

Given Input numbers are 217, 525, 264, 689

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

Divisors of 217 :

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

1, 7, 31, 217

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (217, 525, 264, 689) = 1.

Given numbers are 217, 525, 264, 689

The list of prime factors of all numbers are

Prime factors of 217 are 7 x 31

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 689 are 13 x 53

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

Given numbers are 217, 525, 264, 689

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

Apply this formula for all numbers.

Step1:

LCM(217, 525) = 16275

GCD(217, 525) = ( 217 x 525 ) / 16275

= 217 / 525

= 217

Step2:

LCM(7, 264) = 1848

GCD(7, 264) = ( 7 x 264 ) / 1848

= 7 / 264

= 7

Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 217, 525, 264, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 866, 158, 424, 976
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Given numbers are 217, 525, 264, 689
The greatest common divisor of numbers 217, 525, 264, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 217, 525, 264, 689 is 1.

1. What is the GCD of 217, 525, 264, 689?

GCD of given numbers 217, 525, 264, 689 is 1

2. How to calculate the greatest common divisor of 217, 525, 264, 689?

We can find the highest common divisor of 217, 525, 264, 689 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 217, 525, 264, 689 i.e 1.

3. How can I use the GCD of 217, 525, 264, 689Calculator?

Out the numbers 217, 525, 264, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.