GCD of 974, 788, 37, 488 Calculator

Given Input numbers are 974, 788, 37, 488

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 974, 788, 37, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 788, 37, 488 is 1.

Therefore, GCD of numbers 974, 788, 37, 488 is 1

Given Input Data is 974, 788, 37, 488

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 37 is 37

Prime Factorization of 488 is 2 x 2 x 2 x 61

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(974, 788) = 383756

GCD(974, 788) = ( 974 x 788 ) / 383756

GCD(974, 788) = 767512 / 383756

GCD(974, 788) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 37

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

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

GCD(2, 37) = 74 / 74

GCD(2, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

GCD of 974, 788, 37, 488 is 1

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1. What is the GCD of 974, 788, 37, 488?

GCD of 974, 788, 37, 488 is 1

2. Where do I get the detailed procedure to find GCD of 974, 788, 37, 488?

You can find a detailed procedure to find GCD of 974, 788, 37, 488 on our page.

3. How to find GCD of 974, 788, 37, 488 on a calculator?

You can find the GCD of 974, 788, 37, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.