GCD of 557, 551, 945, 821 Calculator

Given Input numbers are 557, 551, 945, 821

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

Divisors of 557

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

1, 557

Divisors of 551

List of positive integer divisors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 557, 551, 945, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 551, 945, 821 is 1.

Therefore, GCD of numbers 557, 551, 945, 821 is 1

Given Input Data is 557, 551, 945, 821

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

Prime Factorization of 557 is 557

Prime Factorization of 551 is 19 x 29

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 821 is 821

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(557, 551) = 306907

GCD(557, 551) = ( 557 x 551 ) / 306907

GCD(557, 551) = 306907 / 306907

GCD(557, 551) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 557, 551, 945, 821 is 1

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1. What is the GCD of 557, 551, 945, 821?

GCD of 557, 551, 945, 821 is 1

2. Where do I get the detailed procedure to find GCD of 557, 551, 945, 821?

You can find a detailed procedure to find GCD of 557, 551, 945, 821 on our page.

3. How to find GCD of 557, 551, 945, 821 on a calculator?

You can find the GCD of 557, 551, 945, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.