GCD of 979, 985, 34, 820 Calculator

Given Input numbers are 979, 985, 34, 820

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

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 979, 985, 34, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 979, 985, 34, 820 is 1.

Therefore, GCD of numbers 979, 985, 34, 820 is 1

Given Input Data is 979, 985, 34, 820

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

Prime Factorization of 979 is 11 x 89

Prime Factorization of 985 is 5 x 197

Prime Factorization of 34 is 2 x 17

Prime Factorization of 820 is 2 x 2 x 5 x 41

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(979, 985) = 964315

GCD(979, 985) = ( 979 x 985 ) / 964315

GCD(979, 985) = 964315 / 964315

GCD(979, 985) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 979, 985, 34, 820 is 1

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1. What is the GCD of 979, 985, 34, 820?

GCD of 979, 985, 34, 820 is 1

2. Where do I get the detailed procedure to find GCD of 979, 985, 34, 820?

You can find a detailed procedure to find GCD of 979, 985, 34, 820 on our page.

3. How to find GCD of 979, 985, 34, 820 on a calculator?

You can find the GCD of 979, 985, 34, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.