GCD of 85, 676, 639, 978 Calculator

Given Input numbers are 85, 676, 639, 978

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

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

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

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Divisors of 978

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

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

Greatest Common Divisior

We found the divisors of 85, 676, 639, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 676, 639, 978 is 1.

Therefore, GCD of numbers 85, 676, 639, 978 is 1

Given Input Data is 85, 676, 639, 978

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

Prime Factorization of 85 is 5 x 17

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

Prime Factorization of 639 is 3 x 3 x 71

Prime Factorization of 978 is 2 x 3 x 163

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(85, 676) = 57460

GCD(85, 676) = ( 85 x 676 ) / 57460

GCD(85, 676) = 57460 / 57460

GCD(85, 676) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 639

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

LCM(1, 639) = 639

GCD(1, 639) = ( 1 x 639 ) / 639

GCD(1, 639) = 639 / 639

GCD(1, 639) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

GCD of 85, 676, 639, 978 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 185, 277, 784
• GCD of 54, 905, 966, 698
• GCD of 75, 687, 870, 969
• GCD of 30, 705, 180, 211
• GCD of 40, 537, 206, 456

1. What is the GCD of 85, 676, 639, 978?

GCD of 85, 676, 639, 978 is 1

2. Where do I get the detailed procedure to find GCD of 85, 676, 639, 978?

You can find a detailed procedure to find GCD of 85, 676, 639, 978 on our page.

3. How to find GCD of 85, 676, 639, 978 on a calculator?

You can find the GCD of 85, 676, 639, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.