GCD of 289, 761, 561, 564 Calculator

Given Input numbers are 289, 761, 561, 564

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

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 761 :

The positive integer divisors of 761 that completely divides 761 are.

1, 761

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (289, 761, 561, 564) = 1.

Given numbers are 289, 761, 561, 564

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 761 are 761

Prime factors of 561 are 3 x 11 x 17

Prime factors of 564 are 2 x 2 x 3 x 47

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

Given numbers are 289, 761, 561, 564

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

Apply this formula for all numbers.

Step1:

LCM(289, 761) = 219929

GCD(289, 761) = ( 289 x 761 ) / 219929

= 289 / 761

= 289

Step2:

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

= 1 / 561

= 1

Step3:

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

= 1 / 564

= 1

So, Greatest Common Divisor of 289, 761, 561, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 133, 859, 751
• GCD of 676, 813, 439, 127
• GCD of 944, 917, 472, 959
• GCD of 791, 565, 731, 910
• GCD of 462, 521, 184, 370

Given numbers are 289, 761, 561, 564
The greatest common divisor of numbers 289, 761, 561, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 761, 561, 564 is 1.

1. What is the GCD of 289, 761, 561, 564?

GCD of given numbers 289, 761, 561, 564 is 1

2. How to calculate the greatest common divisor of 289, 761, 561, 564?

We can find the highest common divisor of 289, 761, 561, 564 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 289, 761, 561, 564 i.e 1.

3. How can I use the GCD of 289, 761, 561, 564Calculator?

Out the numbers 289, 761, 561, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.