GCD of 969, 636, 345, 561 Calculator

Given Input numbers are 969, 636, 345, 561

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

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 (969, 636, 345, 561) = 3.

Given numbers are 969, 636, 345, 561

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 345 are 3 x 5 x 23

Prime factors of 561 are 3 x 11 x 17

The highest common occurrence is 3¹

Therefore, GCD of 969, 636, 345, 561 is 3.

Given numbers are 969, 636, 345, 561

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

Apply this formula for all numbers.

Step1:

LCM(969, 636) = 205428

GCD(969, 636) = ( 969 x 636 ) / 205428

= 969 / 636

= 969

Step2:

LCM(3, 345) = 345

GCD(3, 345) = ( 3 x 345 ) / 345

= 3 / 345

= 3

Step3:

LCM(3, 561) = 561

GCD(3, 561) = ( 3 x 561 ) / 561

= 3 / 561

= 3

So, Greatest Common Divisor of 969, 636, 345, 561 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 344, 664, 330
• GCD of 573, 783, 236, 738
• GCD of 319, 377, 534, 296
• GCD of 730, 417, 830, 539
• GCD of 340, 969, 518, 445

Given numbers are 969, 636, 345, 561
The greatest common divisor of numbers 969, 636, 345, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 636, 345, 561 is 3.

1. What is the GCD of 969, 636, 345, 561?

GCD of given numbers 969, 636, 345, 561 is 3

2. How to calculate the greatest common divisor of 969, 636, 345, 561?

We can find the highest common divisor of 969, 636, 345, 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 969, 636, 345, 561 i.e 3.

3. How can I use the GCD of 969, 636, 345, 561Calculator?

Out the numbers 969, 636, 345, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.