GCD of 978, 749, 257, 790 Calculator

Given Input numbers are 978, 749, 257, 790

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

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Greatest Common Divisior

We found the divisors of 978, 749, 257, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 749, 257, 790 is 1.

Therefore, GCD of numbers 978, 749, 257, 790 is 1

Given Input Data is 978, 749, 257, 790

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 749 is 7 x 107

Prime Factorization of 257 is 257

Prime Factorization of 790 is 2 x 5 x 79

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(978, 749) = 732522

GCD(978, 749) = ( 978 x 749 ) / 732522

GCD(978, 749) = 732522 / 732522

GCD(978, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 790

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

LCM(1, 790) = 790

GCD(1, 790) = ( 1 x 790 ) / 790

GCD(1, 790) = 790 / 790

GCD(1, 790) = 1

GCD of 978, 749, 257, 790 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 473, 691, 310, 584
• GCD of 346, 193, 204, 155
• GCD of 241, 148, 294, 992
• GCD of 758, 476, 299, 984
• GCD of 449, 125, 863, 439

1. What is the GCD of 978, 749, 257, 790?

GCD of 978, 749, 257, 790 is 1

2. Where do I get the detailed procedure to find GCD of 978, 749, 257, 790?

You can find a detailed procedure to find GCD of 978, 749, 257, 790 on our page.

3. How to find GCD of 978, 749, 257, 790 on a calculator?

You can find the GCD of 978, 749, 257, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.