GCD of 456, 969, 945, 916 Calculator

Given Input numbers are 456, 969, 945, 916

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 456, 969, 945, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 969, 945, 916 is 1.

Therefore, GCD of numbers 456, 969, 945, 916 is 1

Given Input Data is 456, 969, 945, 916

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 916 is 2 x 2 x 229

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(456, 969) = 7752

GCD(456, 969) = ( 456 x 969 ) / 7752

GCD(456, 969) = 441864 / 7752

GCD(456, 969) = 57

Step2:

Here we consider the GCD from the above i.e. 57 as first number and the next as 945

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

LCM(57, 945) = 17955

GCD(57, 945) = ( 57 x 945 ) / 17955

GCD(57, 945) = 53865 / 17955

GCD(57, 945) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 916

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

LCM(3, 916) = 2748

GCD(3, 916) = ( 3 x 916 ) / 2748

GCD(3, 916) = 2748 / 2748

GCD(3, 916) = 1

GCD of 456, 969, 945, 916 is 1

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1. What is the GCD of 456, 969, 945, 916?

GCD of 456, 969, 945, 916 is 1

2. Where do I get the detailed procedure to find GCD of 456, 969, 945, 916?

You can find a detailed procedure to find GCD of 456, 969, 945, 916 on our page.

3. How to find GCD of 456, 969, 945, 916 on a calculator?

You can find the GCD of 456, 969, 945, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.