GCD of 956, 972, 18, 450 Calculator

Given Input numbers are 956, 972, 18, 450

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

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

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

GCD of numbers is the greatest common divisor

So, the GCD (956, 972, 18, 450) = 2.

Given numbers are 956, 972, 18, 450

The list of prime factors of all numbers are

Prime factors of 956 are 2 x 2 x 239

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 18 are 2 x 3 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 956, 972, 18, 450 is 2.

Given numbers are 956, 972, 18, 450

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

Apply this formula for all numbers.

Step1:

LCM(956, 972) = 232308

GCD(956, 972) = ( 956 x 972 ) / 232308

= 956 / 972

= 956

Step2:

LCM(4, 18) = 36

GCD(4, 18) = ( 4 x 18 ) / 36

= 4 / 18

= 4

Step3:

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

= 2 / 450

= 2

So, Greatest Common Divisor of 956, 972, 18, 450 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 151, 485, 87, 277
• GCD of 278, 618, 48, 660
• GCD of 729, 337, 56, 230
• GCD of 277, 237, 53, 112
• GCD of 812, 983, 91, 759

Given numbers are 956, 972, 18, 450
The greatest common divisor of numbers 956, 972, 18, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 956, 972, 18, 450 is 2.

1. What is the GCD of 956, 972, 18, 450?

GCD of given numbers 956, 972, 18, 450 is 2

2. How to calculate the greatest common divisor of 956, 972, 18, 450?

We can find the highest common divisor of 956, 972, 18, 450 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 956, 972, 18, 450 i.e 2.

3. How can I use the GCD of 956, 972, 18, 450Calculator?

Out the numbers 956, 972, 18, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.