GCD of 557, 132, 10, 784 Calculator

Given Input numbers are 557, 132, 10, 784

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 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 10

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

1, 2, 5, 10

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 557, 132, 10, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 132, 10, 784 is 1.

Therefore, GCD of numbers 557, 132, 10, 784 is 1

Given Input Data is 557, 132, 10, 784

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

Prime Factorization of 557 is 557

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 10 is 2 x 5

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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, 132) = 73524

GCD(557, 132) = ( 557 x 132 ) / 73524

GCD(557, 132) = 73524 / 73524

GCD(557, 132) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 557, 132, 10, 784 is 1

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1. What is the GCD of 557, 132, 10, 784?

GCD of 557, 132, 10, 784 is 1

2. Where do I get the detailed procedure to find GCD of 557, 132, 10, 784?

You can find a detailed procedure to find GCD of 557, 132, 10, 784 on our page.

3. How to find GCD of 557, 132, 10, 784 on a calculator?

You can find the GCD of 557, 132, 10, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.