GCD of 261, 243, 561, 524 Calculator

Given Input numbers are 261, 243, 561, 524

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

Divisors of 261 :

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

1, 3, 9, 29, 87, 261

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 561 :

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

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

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

GCD of numbers is the greatest common divisor

So, the GCD (261, 243, 561, 524) = 1.

Given numbers are 261, 243, 561, 524

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 561 are 3 x 11 x 17

Prime factors of 524 are 2 x 2 x 131

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

Given numbers are 261, 243, 561, 524

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

Apply this formula for all numbers.

Step1:

LCM(261, 243) = 7047

GCD(261, 243) = ( 261 x 243 ) / 7047

= 261 / 243

= 261

Step2:

LCM(9, 561) = 1683

GCD(9, 561) = ( 9 x 561 ) / 1683

= 9 / 561

= 9

Step3:

LCM(3, 524) = 1572

GCD(3, 524) = ( 3 x 524 ) / 1572

= 3 / 524

= 3

So, Greatest Common Divisor of 261, 243, 561, 524 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 539, 452, 157, 375
• GCD of 948, 361, 780, 950
• GCD of 905, 248, 740, 183
• GCD of 946, 350, 669, 238
• GCD of 867, 501, 334, 887

Given numbers are 261, 243, 561, 524
The greatest common divisor of numbers 261, 243, 561, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 243, 561, 524 is 1.

1. What is the GCD of 261, 243, 561, 524?

GCD of given numbers 261, 243, 561, 524 is 1

2. How to calculate the greatest common divisor of 261, 243, 561, 524?

We can find the highest common divisor of 261, 243, 561, 524 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 261, 243, 561, 524 i.e 1.

3. How can I use the GCD of 261, 243, 561, 524Calculator?

Out the numbers 261, 243, 561, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.