GCD of 561, 300, 920, 858 Calculator

Given Input numbers are 561, 300, 920, 858

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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

GCD of numbers is the greatest common divisor

So, the GCD (561, 300, 920, 858) = 1.

Given numbers are 561, 300, 920, 858

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 858 are 2 x 3 x 11 x 13

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

Given numbers are 561, 300, 920, 858

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

Apply this formula for all numbers.

Step1:

LCM(561, 300) = 56100

GCD(561, 300) = ( 561 x 300 ) / 56100

= 561 / 300

= 561

Step2:

LCM(3, 920) = 2760

GCD(3, 920) = ( 3 x 920 ) / 2760

= 3 / 920

= 3

Step3:

LCM(1, 858) = 858

GCD(1, 858) = ( 1 x 858 ) / 858

= 1 / 858

= 1

So, Greatest Common Divisor of 561, 300, 920, 858 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 215, 728, 462
• GCD of 265, 816, 378, 543
• GCD of 780, 650, 586, 251
• GCD of 584, 910, 938, 371
• GCD of 658, 979, 722, 604

Given numbers are 561, 300, 920, 858
The greatest common divisor of numbers 561, 300, 920, 858 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 300, 920, 858 is 1.

1. What is the GCD of 561, 300, 920, 858?

GCD of given numbers 561, 300, 920, 858 is 1

2. How to calculate the greatest common divisor of 561, 300, 920, 858?

We can find the highest common divisor of 561, 300, 920, 858 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, 300, 920, 858 i.e 1.

3. How can I use the GCD of 561, 300, 920, 858Calculator?

Out the numbers 561, 300, 920, 858 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.