GCD of 849, 977, 209, 979 Calculator

Given Input numbers are 849, 977, 209, 979

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

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 979

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

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 849, 977, 209, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 977, 209, 979 is 1.

Therefore, GCD of numbers 849, 977, 209, 979 is 1

Given Input Data is 849, 977, 209, 979

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

Prime Factorization of 849 is 3 x 283

Prime Factorization of 977 is 977

Prime Factorization of 209 is 11 x 19

Prime Factorization of 979 is 11 x 89

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(849, 977) = 829473

GCD(849, 977) = ( 849 x 977 ) / 829473

GCD(849, 977) = 829473 / 829473

GCD(849, 977) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 979

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

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

GCD(1, 979) = 979 / 979

GCD(1, 979) = 1

GCD of 849, 977, 209, 979 is 1

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1. What is the GCD of 849, 977, 209, 979?

GCD of 849, 977, 209, 979 is 1

2. Where do I get the detailed procedure to find GCD of 849, 977, 209, 979?

You can find a detailed procedure to find GCD of 849, 977, 209, 979 on our page.

3. How to find GCD of 849, 977, 209, 979 on a calculator?

You can find the GCD of 849, 977, 209, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.