GCD of 649, 861, 984, 316 Calculator

Given Input numbers are 649, 861, 984, 316

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

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 649, 861, 984, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 861, 984, 316 is 1.

Therefore, GCD of numbers 649, 861, 984, 316 is 1

Given Input Data is 649, 861, 984, 316

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

Prime Factorization of 649 is 11 x 59

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 316 is 2 x 2 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(649, 861) = 558789

GCD(649, 861) = ( 649 x 861 ) / 558789

GCD(649, 861) = 558789 / 558789

GCD(649, 861) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

GCD of 649, 861, 984, 316 is 1

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1. What is the GCD of 649, 861, 984, 316?

GCD of 649, 861, 984, 316 is 1

2. Where do I get the detailed procedure to find GCD of 649, 861, 984, 316?

You can find a detailed procedure to find GCD of 649, 861, 984, 316 on our page.

3. How to find GCD of 649, 861, 984, 316 on a calculator?

You can find the GCD of 649, 861, 984, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.