GCD of 981, 396, 450, 363 Calculator

Given Input numbers are 981, 396, 450, 363

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

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

GCD of numbers is the greatest common divisor

So, the GCD (981, 396, 450, 363) = 3.

Given numbers are 981, 396, 450, 363

The list of prime factors of all numbers are

Prime factors of 981 are 3 x 3 x 109

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 363 are 3 x 11 x 11

The highest common occurrence is 3¹

Therefore, GCD of 981, 396, 450, 363 is 3.

Given numbers are 981, 396, 450, 363

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

Apply this formula for all numbers.

Step1:

LCM(981, 396) = 43164

GCD(981, 396) = ( 981 x 396 ) / 43164

= 981 / 396

= 981

Step2:

LCM(9, 450) = 450

GCD(9, 450) = ( 9 x 450 ) / 450

= 9 / 450

= 9

Step3:

LCM(9, 363) = 1089

GCD(9, 363) = ( 9 x 363 ) / 1089

= 9 / 363

= 9

So, Greatest Common Divisor of 981, 396, 450, 363 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 322, 228, 958, 957
• GCD of 679, 493, 780, 260
• GCD of 753, 637, 719, 235
• GCD of 168, 952, 740, 802
• GCD of 477, 574, 975, 536

Given numbers are 981, 396, 450, 363
The greatest common divisor of numbers 981, 396, 450, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 396, 450, 363 is 3.

1. What is the GCD of 981, 396, 450, 363?

GCD of given numbers 981, 396, 450, 363 is 3

2. How to calculate the greatest common divisor of 981, 396, 450, 363?

We can find the highest common divisor of 981, 396, 450, 363 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 981, 396, 450, 363 i.e 3.

3. How can I use the GCD of 981, 396, 450, 363Calculator?

Out the numbers 981, 396, 450, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.