GCD of 514, 966, 10, 167 Calculator

Given Input numbers are 514, 966, 10, 167

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

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Greatest Common Divisior

We found the divisors of 514, 966, 10, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 966, 10, 167 is 1.

Therefore, GCD of numbers 514, 966, 10, 167 is 1

Given Input Data is 514, 966, 10, 167

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

Prime Factorization of 514 is 2 x 257

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 10 is 2 x 5

Prime Factorization of 167 is 167

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(514, 966) = 248262

GCD(514, 966) = ( 514 x 966 ) / 248262

GCD(514, 966) = 496524 / 248262

GCD(514, 966) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 167

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

LCM(2, 167) = 334

GCD(2, 167) = ( 2 x 167 ) / 334

GCD(2, 167) = 334 / 334

GCD(2, 167) = 1

GCD of 514, 966, 10, 167 is 1

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• GCD of 196, 526, 85, 642
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• GCD of 930, 730, 50, 991

1. What is the GCD of 514, 966, 10, 167?

GCD of 514, 966, 10, 167 is 1

2. Where do I get the detailed procedure to find GCD of 514, 966, 10, 167?

You can find a detailed procedure to find GCD of 514, 966, 10, 167 on our page.

3. How to find GCD of 514, 966, 10, 167 on a calculator?

You can find the GCD of 514, 966, 10, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.