GCD of 147, 553, 966, 515 Calculator

Given Input numbers are 147, 553, 966, 515

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

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

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 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Greatest Common Divisior

We found the divisors of 147, 553, 966, 515 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 553, 966, 515 is 1.

Therefore, GCD of numbers 147, 553, 966, 515 is 1

Given Input Data is 147, 553, 966, 515

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 553 is 7 x 79

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

Prime Factorization of 515 is 5 x 103

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(147, 553) = 11613

GCD(147, 553) = ( 147 x 553 ) / 11613

GCD(147, 553) = 81291 / 11613

GCD(147, 553) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 966

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

LCM(7, 966) = 966

GCD(7, 966) = ( 7 x 966 ) / 966

GCD(7, 966) = 6762 / 966

GCD(7, 966) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 515

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

LCM(7, 515) = 3605

GCD(7, 515) = ( 7 x 515 ) / 3605

GCD(7, 515) = 3605 / 3605

GCD(7, 515) = 1

GCD of 147, 553, 966, 515 is 1

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1. What is the GCD of 147, 553, 966, 515?

GCD of 147, 553, 966, 515 is 1

2. Where do I get the detailed procedure to find GCD of 147, 553, 966, 515?

You can find a detailed procedure to find GCD of 147, 553, 966, 515 on our page.

3. How to find GCD of 147, 553, 966, 515 on a calculator?

You can find the GCD of 147, 553, 966, 515 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.