GCD of 965, 854, 512, 188 Calculator

Given Input numbers are 965, 854, 512, 188

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

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 965, 854, 512, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 854, 512, 188 is 1.

Therefore, GCD of numbers 965, 854, 512, 188 is 1

Given Input Data is 965, 854, 512, 188

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

Prime Factorization of 965 is 5 x 193

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 188 is 2 x 2 x 47

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(965, 854) = 824110

GCD(965, 854) = ( 965 x 854 ) / 824110

GCD(965, 854) = 824110 / 824110

GCD(965, 854) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

GCD of 965, 854, 512, 188 is 1

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1. What is the GCD of 965, 854, 512, 188?

GCD of 965, 854, 512, 188 is 1

2. Where do I get the detailed procedure to find GCD of 965, 854, 512, 188?

You can find a detailed procedure to find GCD of 965, 854, 512, 188 on our page.

3. How to find GCD of 965, 854, 512, 188 on a calculator?

You can find the GCD of 965, 854, 512, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.