GCD of 758, 558, 917, 351 Calculator

Given Input numbers are 758, 558, 917, 351

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

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 758, 558, 917, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 558, 917, 351 is 1.

Therefore, GCD of numbers 758, 558, 917, 351 is 1

Given Input Data is 758, 558, 917, 351

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

Prime Factorization of 758 is 2 x 379

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 917 is 7 x 131

Prime Factorization of 351 is 3 x 3 x 3 x 13

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(758, 558) = 211482

GCD(758, 558) = ( 758 x 558 ) / 211482

GCD(758, 558) = 422964 / 211482

GCD(758, 558) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 917

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

LCM(2, 917) = 1834

GCD(2, 917) = ( 2 x 917 ) / 1834

GCD(2, 917) = 1834 / 1834

GCD(2, 917) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

GCD of 758, 558, 917, 351 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 875, 864, 155, 428
• GCD of 541, 170, 996, 254
• GCD of 528, 884, 374, 913
• GCD of 698, 179, 595, 218
• GCD of 464, 679, 242, 161

1. What is the GCD of 758, 558, 917, 351?

GCD of 758, 558, 917, 351 is 1

2. Where do I get the detailed procedure to find GCD of 758, 558, 917, 351?

You can find a detailed procedure to find GCD of 758, 558, 917, 351 on our page.

3. How to find GCD of 758, 558, 917, 351 on a calculator?

You can find the GCD of 758, 558, 917, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.