GCD of 978, 617, 275, 676 Calculator

Given Input numbers are 978, 617, 275, 676

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 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 978, 617, 275, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 617, 275, 676 is 1.

Therefore, GCD of numbers 978, 617, 275, 676 is 1

Given Input Data is 978, 617, 275, 676

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 617 is 617

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 676 is 2 x 2 x 13 x 13

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, 617) = 603426

GCD(978, 617) = ( 978 x 617 ) / 603426

GCD(978, 617) = 603426 / 603426

GCD(978, 617) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 978, 617, 275, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 703, 797, 199, 279
• GCD of 805, 814, 761, 563
• GCD of 619, 577, 531, 863
• GCD of 617, 884, 250, 169
• GCD of 907, 130, 886, 375

1. What is the GCD of 978, 617, 275, 676?

GCD of 978, 617, 275, 676 is 1

2. Where do I get the detailed procedure to find GCD of 978, 617, 275, 676?

You can find a detailed procedure to find GCD of 978, 617, 275, 676 on our page.

3. How to find GCD of 978, 617, 275, 676 on a calculator?

You can find the GCD of 978, 617, 275, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.