GCD of 369, 426, 996, 960 Calculator

Given Input numbers are 369, 426, 996, 960

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 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (369, 426, 996, 960) = 3.

Given numbers are 369, 426, 996, 960

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 426 are 2 x 3 x 71

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 369, 426, 996, 960 is 3.

Given numbers are 369, 426, 996, 960

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

Apply this formula for all numbers.

Step1:

LCM(369, 426) = 52398

GCD(369, 426) = ( 369 x 426 ) / 52398

= 369 / 426

= 369

Step2:

LCM(3, 996) = 996

GCD(3, 996) = ( 3 x 996 ) / 996

= 3 / 996

= 3

Step3:

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

= 3 / 960

= 3

So, Greatest Common Divisor of 369, 426, 996, 960 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 730, 585, 433
• GCD of 355, 887, 801, 782
• GCD of 371, 383, 276, 154
• GCD of 343, 780, 363, 815
• GCD of 658, 756, 831, 620

Given numbers are 369, 426, 996, 960
The greatest common divisor of numbers 369, 426, 996, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 426, 996, 960 is 3.

1. What is the GCD of 369, 426, 996, 960?

GCD of given numbers 369, 426, 996, 960 is 3

2. How to calculate the greatest common divisor of 369, 426, 996, 960?

We can find the highest common divisor of 369, 426, 996, 960 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, 426, 996, 960 i.e 3.

3. How can I use the GCD of 369, 426, 996, 960Calculator?

Out the numbers 369, 426, 996, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.