GCD of 561, 861, 822, 350 Calculator

Given Input numbers are 561, 861, 822, 350

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 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (561, 861, 822, 350) = 1.

Given numbers are 561, 861, 822, 350

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 861 are 3 x 7 x 41

Prime factors of 822 are 2 x 3 x 137

Prime factors of 350 are 2 x 5 x 5 x 7

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

Given numbers are 561, 861, 822, 350

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

Apply this formula for all numbers.

Step1:

LCM(561, 861) = 161007

GCD(561, 861) = ( 561 x 861 ) / 161007

= 561 / 861

= 561

Step2:

LCM(3, 822) = 822

GCD(3, 822) = ( 3 x 822 ) / 822

= 3 / 822

= 3

Step3:

LCM(3, 350) = 1050

GCD(3, 350) = ( 3 x 350 ) / 1050

= 3 / 350

= 3

So, Greatest Common Divisor of 561, 861, 822, 350 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 297, 926, 723, 140
• GCD of 218, 173, 361, 516
• GCD of 441, 974, 611, 115
• GCD of 933, 116, 762, 653
• GCD of 674, 706, 830, 254

Given numbers are 561, 861, 822, 350
The greatest common divisor of numbers 561, 861, 822, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 861, 822, 350 is 1.

1. What is the GCD of 561, 861, 822, 350?

GCD of given numbers 561, 861, 822, 350 is 1

2. How to calculate the greatest common divisor of 561, 861, 822, 350?

We can find the highest common divisor of 561, 861, 822, 350 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, 861, 822, 350 i.e 1.

3. How can I use the GCD of 561, 861, 822, 350Calculator?

Out the numbers 561, 861, 822, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.