GCD of 369, 936, 567, 969 Calculator

Given Input numbers are 369, 936, 567, 969

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 969 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (369, 936, 567, 969) = 3.

Given numbers are 369, 936, 567, 969

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 969 are 3 x 17 x 19

The highest common occurrence is 3¹

Therefore, GCD of 369, 936, 567, 969 is 3.

Given numbers are 369, 936, 567, 969

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

Apply this formula for all numbers.

Step1:

LCM(369, 936) = 38376

GCD(369, 936) = ( 369 x 936 ) / 38376

= 369 / 936

= 369

Step2:

LCM(9, 567) = 567

GCD(9, 567) = ( 9 x 567 ) / 567

= 9 / 567

= 9

Step3:

LCM(9, 969) = 2907

GCD(9, 969) = ( 9 x 969 ) / 2907

= 9 / 969

= 9

So, Greatest Common Divisor of 369, 936, 567, 969 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 384, 878, 394, 451
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Given numbers are 369, 936, 567, 969
The greatest common divisor of numbers 369, 936, 567, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 936, 567, 969 is 3.

1. What is the GCD of 369, 936, 567, 969?

GCD of given numbers 369, 936, 567, 969 is 3

2. How to calculate the greatest common divisor of 369, 936, 567, 969?

We can find the highest common divisor of 369, 936, 567, 969 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 369, 936, 567, 969 i.e 3.

3. How can I use the GCD of 369, 936, 567, 969Calculator?

Out the numbers 369, 936, 567, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.