GCD of 981, 207, 561 Calculator

Given Input numbers are 981, 207, 561

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

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

Divisors of 561 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (981, 207, 561) = 3.

Given numbers are 981, 207, 561

The list of prime factors of all numbers are

Prime factors of 981 are 3 x 3 x 109

Prime factors of 207 are 3 x 3 x 23

Prime factors of 561 are 3 x 11 x 17

The highest common occurrence is 3¹

Therefore, GCD of 981, 207, 561 is 3.

Given numbers are 981, 207, 561

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

Apply this formula for all numbers.

Step1:

LCM(981, 207) = 22563

GCD(981, 207) = ( 981 x 207 ) / 22563

= 981 / 207

= 981

Step2:

LCM(9, 561) = 1683

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

= 9 / 561

= 9

So, Greatest Common Divisor of 981, 207, 561 is 3

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Given numbers are 981, 207, 561
The greatest common divisor of numbers 981, 207, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 207, 561 is 3.

1. What is the GCD of 981, 207, 561?

GCD of given numbers 981, 207, 561 is 3

2. How to calculate the greatest common divisor of 981, 207, 561?

We can find the highest common divisor of 981, 207, 561 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 981, 207, 561 i.e 3.

3. How can I use the GCD of 981, 207, 561Calculator?

Out the numbers 981, 207, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.