GCD of 58, 292, 909, 758 Calculator

Given Input numbers are 58, 292, 909, 758

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 758

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

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 58, 292, 909, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 292, 909, 758 is 1.

Therefore, GCD of numbers 58, 292, 909, 758 is 1

Given Input Data is 58, 292, 909, 758

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 758 is 2 x 379

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(58, 292) = 8468

GCD(58, 292) = ( 58 x 292 ) / 8468

GCD(58, 292) = 16936 / 8468

GCD(58, 292) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 909

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

LCM(2, 909) = 1818

GCD(2, 909) = ( 2 x 909 ) / 1818

GCD(2, 909) = 1818 / 1818

GCD(2, 909) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

GCD of 58, 292, 909, 758 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 692, 689, 769
• GCD of 19, 904, 525, 639
• GCD of 59, 739, 488, 115
• GCD of 29, 808, 411, 566
• GCD of 63, 218, 783, 841

1. What is the GCD of 58, 292, 909, 758?

GCD of 58, 292, 909, 758 is 1

2. Where do I get the detailed procedure to find GCD of 58, 292, 909, 758?

You can find a detailed procedure to find GCD of 58, 292, 909, 758 on our page.

3. How to find GCD of 58, 292, 909, 758 on a calculator?

You can find the GCD of 58, 292, 909, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.