GCD of 948, 509, 972, 555 Calculator

Given Input numbers are 948, 509, 972, 555

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

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Greatest Common Divisior

We found the divisors of 948, 509, 972, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 509, 972, 555 is 1.

Therefore, GCD of numbers 948, 509, 972, 555 is 1

Given Input Data is 948, 509, 972, 555

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

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 509 is 509

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 555 is 3 x 5 x 37

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(948, 509) = 482532

GCD(948, 509) = ( 948 x 509 ) / 482532

GCD(948, 509) = 482532 / 482532

GCD(948, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 555

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

LCM(1, 555) = 555

GCD(1, 555) = ( 1 x 555 ) / 555

GCD(1, 555) = 555 / 555

GCD(1, 555) = 1

GCD of 948, 509, 972, 555 is 1

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1. What is the GCD of 948, 509, 972, 555?

GCD of 948, 509, 972, 555 is 1

2. Where do I get the detailed procedure to find GCD of 948, 509, 972, 555?

You can find a detailed procedure to find GCD of 948, 509, 972, 555 on our page.

3. How to find GCD of 948, 509, 972, 555 on a calculator?

You can find the GCD of 948, 509, 972, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.