GCD of 708, 298, 974, 573 Calculator

Given Input numbers are 708, 298, 974, 573

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 974

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

1, 2, 487, 974

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Greatest Common Divisior

We found the divisors of 708, 298, 974, 573 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 298, 974, 573 is 1.

Therefore, GCD of numbers 708, 298, 974, 573 is 1

Given Input Data is 708, 298, 974, 573

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 298 is 2 x 149

Prime Factorization of 974 is 2 x 487

Prime Factorization of 573 is 3 x 191

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(708, 298) = 105492

GCD(708, 298) = ( 708 x 298 ) / 105492

GCD(708, 298) = 210984 / 105492

GCD(708, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 974

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

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

GCD(2, 974) = 1948 / 974

GCD(2, 974) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 573

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

LCM(2, 573) = 1146

GCD(2, 573) = ( 2 x 573 ) / 1146

GCD(2, 573) = 1146 / 1146

GCD(2, 573) = 1

GCD of 708, 298, 974, 573 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 809, 178, 254
• GCD of 193, 518, 224, 337
• GCD of 958, 282, 502, 615
• GCD of 978, 921, 487, 968
• GCD of 630, 210, 390, 577

1. What is the GCD of 708, 298, 974, 573?

GCD of 708, 298, 974, 573 is 1

2. Where do I get the detailed procedure to find GCD of 708, 298, 974, 573?

You can find a detailed procedure to find GCD of 708, 298, 974, 573 on our page.

3. How to find GCD of 708, 298, 974, 573 on a calculator?

You can find the GCD of 708, 298, 974, 573 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.