GCD of 58, 712, 374, 900 Calculator

Given Input numbers are 58, 712, 374, 900

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 712

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

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 58, 712, 374, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 712, 374, 900 is 2.

Therefore, GCD of numbers 58, 712, 374, 900 is 2

Given Input Data is 58, 712, 374, 900

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

Prime Factorization of 58 is 2 x 29

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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, 712) = 20648

GCD(58, 712) = ( 58 x 712 ) / 20648

GCD(58, 712) = 41296 / 20648

GCD(58, 712) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 374

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

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

GCD(2, 374) = 748 / 374

GCD(2, 374) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 900

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

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

GCD(2, 900) = 1800 / 900

GCD(2, 900) = 2

GCD of 58, 712, 374, 900 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 788, 768, 679
• GCD of 33, 236, 391, 499
• GCD of 78, 892, 948, 848
• GCD of 76, 611, 566, 951
• GCD of 89, 692, 110, 504

1. What is the GCD of 58, 712, 374, 900?

GCD of 58, 712, 374, 900 is 2

2. Where do I get the detailed procedure to find GCD of 58, 712, 374, 900?

You can find a detailed procedure to find GCD of 58, 712, 374, 900 on our page.

3. How to find GCD of 58, 712, 374, 900 on a calculator?

You can find the GCD of 58, 712, 374, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.