GCD of 690, 852, 58, 358 Calculator

Given Input numbers are 690, 852, 58, 358

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 58

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

1, 2, 29, 58

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 690, 852, 58, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 852, 58, 358 is 2.

Therefore, GCD of numbers 690, 852, 58, 358 is 2

Given Input Data is 690, 852, 58, 358

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 58 is 2 x 29

Prime Factorization of 358 is 2 x 179

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(690, 852) = 97980

GCD(690, 852) = ( 690 x 852 ) / 97980

GCD(690, 852) = 587880 / 97980

GCD(690, 852) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 58

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

LCM(6, 58) = 174

GCD(6, 58) = ( 6 x 58 ) / 174

GCD(6, 58) = 348 / 174

GCD(6, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 358

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

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

GCD(2, 358) = 716 / 358

GCD(2, 358) = 2

GCD of 690, 852, 58, 358 is 2

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• GCD of 316, 764, 10, 664
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• GCD of 255, 284, 13, 312

1. What is the GCD of 690, 852, 58, 358?

GCD of 690, 852, 58, 358 is 2

2. Where do I get the detailed procedure to find GCD of 690, 852, 58, 358?

You can find a detailed procedure to find GCD of 690, 852, 58, 358 on our page.

3. How to find GCD of 690, 852, 58, 358 on a calculator?

You can find the GCD of 690, 852, 58, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.