GCD of 561, 261, 643, 557 Calculator

Given Input numbers are 561, 261, 643, 557

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

Divisors of 561 :

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

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

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 643 :

The positive integer divisors of 643 that completely divides 643 are.

1, 643

Divisors of 557 :

The positive integer divisors of 557 that completely divides 557 are.

1, 557

GCD of numbers is the greatest common divisor

So, the GCD (561, 261, 643, 557) = 1.

Given numbers are 561, 261, 643, 557

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 261 are 3 x 3 x 29

Prime factors of 643 are 643

Prime factors of 557 are 557

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

Given numbers are 561, 261, 643, 557

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

Apply this formula for all numbers.

Step1:

LCM(561, 261) = 48807

GCD(561, 261) = ( 561 x 261 ) / 48807

= 561 / 261

= 561

Step2:

LCM(3, 643) = 1929

GCD(3, 643) = ( 3 x 643 ) / 1929

= 3 / 643

= 3

Step3:

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

= 1 / 557

= 1

So, Greatest Common Divisor of 561, 261, 643, 557 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 853, 936, 777, 284
• GCD of 370, 107, 935, 144
• GCD of 473, 570, 205, 496
• GCD of 344, 513, 544, 815
• GCD of 449, 352, 374, 204

Given numbers are 561, 261, 643, 557
The greatest common divisor of numbers 561, 261, 643, 557 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 261, 643, 557 is 1.

1. What is the GCD of 561, 261, 643, 557?

GCD of given numbers 561, 261, 643, 557 is 1

2. How to calculate the greatest common divisor of 561, 261, 643, 557?

We can find the highest common divisor of 561, 261, 643, 557 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 561, 261, 643, 557 i.e 1.

3. How can I use the GCD of 561, 261, 643, 557Calculator?

Out the numbers 561, 261, 643, 557 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.