GCD of 58, 902, 104, 690 Calculator

Given Input numbers are 58, 902, 104, 690

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 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

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

Greatest Common Divisior

We found the divisors of 58, 902, 104, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 902, 104, 690 is 2.

Therefore, GCD of numbers 58, 902, 104, 690 is 2

Given Input Data is 58, 902, 104, 690

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 104 is 2 x 2 x 2 x 13

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

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(58, 902) = 26158

GCD(58, 902) = ( 58 x 902 ) / 26158

GCD(58, 902) = 52316 / 26158

GCD(58, 902) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 104

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

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

GCD(2, 104) = 208 / 104

GCD(2, 104) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 690

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

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

GCD(2, 690) = 1380 / 690

GCD(2, 690) = 2

GCD of 58, 902, 104, 690 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 156, 980, 488
• GCD of 63, 540, 545, 588
• GCD of 27, 244, 137, 551
• GCD of 92, 534, 781, 317
• GCD of 64, 370, 314, 344

1. What is the GCD of 58, 902, 104, 690?

GCD of 58, 902, 104, 690 is 2

2. Where do I get the detailed procedure to find GCD of 58, 902, 104, 690?

You can find a detailed procedure to find GCD of 58, 902, 104, 690 on our page.

3. How to find GCD of 58, 902, 104, 690 on a calculator?

You can find the GCD of 58, 902, 104, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.