GCD of 105, 561, 468, 889 Calculator

Given Input numbers are 105, 561, 468, 889

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 561 :

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

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889

GCD of numbers is the greatest common divisor

So, the GCD (105, 561, 468, 889) = 1.

Given numbers are 105, 561, 468, 889

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 561 are 3 x 11 x 17

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 889 are 7 x 127

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

Given numbers are 105, 561, 468, 889

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

Apply this formula for all numbers.

Step1:

LCM(105, 561) = 19635

GCD(105, 561) = ( 105 x 561 ) / 19635

= 105 / 561

= 105

Step2:

LCM(3, 468) = 468

GCD(3, 468) = ( 3 x 468 ) / 468

= 3 / 468

= 3

Step3:

LCM(3, 889) = 2667

GCD(3, 889) = ( 3 x 889 ) / 2667

= 3 / 889

= 3

So, Greatest Common Divisor of 105, 561, 468, 889 is 1

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• GCD of 804, 649, 718, 296
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Given numbers are 105, 561, 468, 889
The greatest common divisor of numbers 105, 561, 468, 889 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 561, 468, 889 is 1.

1. What is the GCD of 105, 561, 468, 889?

GCD of given numbers 105, 561, 468, 889 is 1

2. How to calculate the greatest common divisor of 105, 561, 468, 889?

We can find the highest common divisor of 105, 561, 468, 889 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 105, 561, 468, 889 i.e 1.

3. How can I use the GCD of 105, 561, 468, 889Calculator?

Out the numbers 105, 561, 468, 889 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.