GCD of 712, 702, 177, 557 Calculator

Given Input numbers are 712, 702, 177, 557

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 557

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

1, 557

Greatest Common Divisior

We found the divisors of 712, 702, 177, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 702, 177, 557 is 1.

Therefore, GCD of numbers 712, 702, 177, 557 is 1

Given Input Data is 712, 702, 177, 557

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 177 is 3 x 59

Prime Factorization of 557 is 557

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(712, 702) = 249912

GCD(712, 702) = ( 712 x 702 ) / 249912

GCD(712, 702) = 499824 / 249912

GCD(712, 702) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 177

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

LCM(2, 177) = 354

GCD(2, 177) = ( 2 x 177 ) / 354

GCD(2, 177) = 354 / 354

GCD(2, 177) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

GCD of 712, 702, 177, 557 is 1

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• GCD of 378, 489, 935, 487
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1. What is the GCD of 712, 702, 177, 557?

GCD of 712, 702, 177, 557 is 1

2. Where do I get the detailed procedure to find GCD of 712, 702, 177, 557?

You can find a detailed procedure to find GCD of 712, 702, 177, 557 on our page.

3. How to find GCD of 712, 702, 177, 557 on a calculator?

You can find the GCD of 712, 702, 177, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.