GCD of 505, 557, 78, 972 Calculator

Given Input numbers are 505, 557, 78, 972

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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

Greatest Common Divisior

We found the divisors of 505, 557, 78, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 557, 78, 972 is 1.

Therefore, GCD of numbers 505, 557, 78, 972 is 1

Given Input Data is 505, 557, 78, 972

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 557 is 557

Prime Factorization of 78 is 2 x 3 x 13

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

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(505, 557) = 281285

GCD(505, 557) = ( 505 x 557 ) / 281285

GCD(505, 557) = 281285 / 281285

GCD(505, 557) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

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

GCD of 505, 557, 78, 972 is 1

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1. What is the GCD of 505, 557, 78, 972?

GCD of 505, 557, 78, 972 is 1

2. Where do I get the detailed procedure to find GCD of 505, 557, 78, 972?

You can find a detailed procedure to find GCD of 505, 557, 78, 972 on our page.

3. How to find GCD of 505, 557, 78, 972 on a calculator?

You can find the GCD of 505, 557, 78, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.