GCD of 965, 510, 51, 938 Calculator

Given Input numbers are 965, 510, 51, 938

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 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 965, 510, 51, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 510, 51, 938 is 1.

Therefore, GCD of numbers 965, 510, 51, 938 is 1

Given Input Data is 965, 510, 51, 938

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

Prime Factorization of 965 is 5 x 193

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 51 is 3 x 17

Prime Factorization of 938 is 2 x 7 x 67

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, 510) = 98430

GCD(965, 510) = ( 965 x 510 ) / 98430

GCD(965, 510) = 492150 / 98430

GCD(965, 510) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 51

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

LCM(5, 51) = 255

GCD(5, 51) = ( 5 x 51 ) / 255

GCD(5, 51) = 255 / 255

GCD(5, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 965, 510, 51, 938 is 1

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1. What is the GCD of 965, 510, 51, 938?

GCD of 965, 510, 51, 938 is 1

2. Where do I get the detailed procedure to find GCD of 965, 510, 51, 938?

You can find a detailed procedure to find GCD of 965, 510, 51, 938 on our page.

3. How to find GCD of 965, 510, 51, 938 on a calculator?

You can find the GCD of 965, 510, 51, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.