GCD of 974, 498, 23, 607 Calculator

Given Input numbers are 974, 498, 23, 607

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 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Greatest Common Divisior

We found the divisors of 974, 498, 23, 607 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 498, 23, 607 is 1.

Therefore, GCD of numbers 974, 498, 23, 607 is 1

Given Input Data is 974, 498, 23, 607

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 23 is 23

Prime Factorization of 607 is 607

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, 498) = 242526

GCD(974, 498) = ( 974 x 498 ) / 242526

GCD(974, 498) = 485052 / 242526

GCD(974, 498) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 23

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

LCM(2, 23) = 46

GCD(2, 23) = ( 2 x 23 ) / 46

GCD(2, 23) = 46 / 46

GCD(2, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 607

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

LCM(1, 607) = 607

GCD(1, 607) = ( 1 x 607 ) / 607

GCD(1, 607) = 607 / 607

GCD(1, 607) = 1

GCD of 974, 498, 23, 607 is 1

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• GCD of 475, 597, 16, 200
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• GCD of 160, 458, 46, 441

1. What is the GCD of 974, 498, 23, 607?

GCD of 974, 498, 23, 607 is 1

2. Where do I get the detailed procedure to find GCD of 974, 498, 23, 607?

You can find a detailed procedure to find GCD of 974, 498, 23, 607 on our page.

3. How to find GCD of 974, 498, 23, 607 on a calculator?

You can find the GCD of 974, 498, 23, 607 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.