GCD of 422, 982, 966, 900 Calculator

Given Input numbers are 422, 982, 966, 900

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

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

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 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

GCD of numbers is the greatest common divisor

So, the GCD (422, 982, 966, 900) = 2.

Given numbers are 422, 982, 966, 900

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 982 are 2 x 491

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

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

The highest common occurrence is 2¹

Therefore, GCD of 422, 982, 966, 900 is 2.

Given numbers are 422, 982, 966, 900

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

Apply this formula for all numbers.

Step1:

LCM(422, 982) = 207202

GCD(422, 982) = ( 422 x 982 ) / 207202

= 422 / 982

= 422

Step2:

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

= 2 / 966

= 2

Step3:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

So, Greatest Common Divisor of 422, 982, 966, 900 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 908, 202, 704, 559
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• GCD of 885, 763, 243, 199

Given numbers are 422, 982, 966, 900
The greatest common divisor of numbers 422, 982, 966, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 982, 966, 900 is 2.

1. What is the GCD of 422, 982, 966, 900?

GCD of given numbers 422, 982, 966, 900 is 2

2. How to calculate the greatest common divisor of 422, 982, 966, 900?

We can find the highest common divisor of 422, 982, 966, 900 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 422, 982, 966, 900 i.e 2.

3. How can I use the GCD of 422, 982, 966, 900Calculator?

Out the numbers 422, 982, 966, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.