GCD of 580, 148, 52, 372 Calculator

Given Input numbers are 580, 148, 52, 372

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

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Greatest Common Divisior

We found the divisors of 580, 148, 52, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 148, 52, 372 is 4.

Therefore, GCD of numbers 580, 148, 52, 372 is 4

Given Input Data is 580, 148, 52, 372

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

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 372 is 2 x 2 x 3 x 31

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(580, 148) = 21460

GCD(580, 148) = ( 580 x 148 ) / 21460

GCD(580, 148) = 85840 / 21460

GCD(580, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 52

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

LCM(4, 52) = 52

GCD(4, 52) = ( 4 x 52 ) / 52

GCD(4, 52) = 208 / 52

GCD(4, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 372

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

LCM(4, 372) = 372

GCD(4, 372) = ( 4 x 372 ) / 372

GCD(4, 372) = 1488 / 372

GCD(4, 372) = 4

GCD of 580, 148, 52, 372 is 4

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• GCD of 123, 212, 57, 363
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1. What is the GCD of 580, 148, 52, 372?

GCD of 580, 148, 52, 372 is 4

2. Where do I get the detailed procedure to find GCD of 580, 148, 52, 372?

You can find a detailed procedure to find GCD of 580, 148, 52, 372 on our page.

3. How to find GCD of 580, 148, 52, 372 on a calculator?

You can find the GCD of 580, 148, 52, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.