GCD of 900, 966, 450, 940 Calculator

Given Input numbers are 900, 966, 450, 940

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (900, 966, 450, 940) = 2.

Given numbers are 900, 966, 450, 940

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 966 are 2 x 3 x 7 x 23

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

Prime factors of 940 are 2 x 2 x 5 x 47

The highest common occurrence is 2¹

Therefore, GCD of 900, 966, 450, 940 is 2.

Given numbers are 900, 966, 450, 940

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

Apply this formula for all numbers.

Step1:

LCM(900, 966) = 144900

GCD(900, 966) = ( 900 x 966 ) / 144900

= 900 / 966

= 900

Step2:

LCM(6, 450) = 450

GCD(6, 450) = ( 6 x 450 ) / 450

= 6 / 450

= 6

Step3:

LCM(6, 940) = 2820

GCD(6, 940) = ( 6 x 940 ) / 2820

= 6 / 940

= 6

So, Greatest Common Divisor of 900, 966, 450, 940 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 411, 796, 275
• GCD of 648, 317, 921, 556
• GCD of 281, 471, 501, 622
• GCD of 686, 755, 685, 341
• GCD of 226, 421, 566, 298

Given numbers are 900, 966, 450, 940
The greatest common divisor of numbers 900, 966, 450, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 966, 450, 940 is 2.

1. What is the GCD of 900, 966, 450, 940?

GCD of given numbers 900, 966, 450, 940 is 2

2. How to calculate the greatest common divisor of 900, 966, 450, 940?

We can find the highest common divisor of 900, 966, 450, 940 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 900, 966, 450, 940 i.e 2.

3. How can I use the GCD of 900, 966, 450, 940Calculator?

Out the numbers 900, 966, 450, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.