GCD of 988, 940, 84, 649 Calculator

Given Input numbers are 988, 940, 84, 649

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

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 649

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

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 988, 940, 84, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 940, 84, 649 is 1.

Therefore, GCD of numbers 988, 940, 84, 649 is 1

Given Input Data is 988, 940, 84, 649

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 649 is 11 x 59

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(988, 940) = 232180

GCD(988, 940) = ( 988 x 940 ) / 232180

GCD(988, 940) = 928720 / 232180

GCD(988, 940) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 84

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

LCM(4, 84) = 84

GCD(4, 84) = ( 4 x 84 ) / 84

GCD(4, 84) = 336 / 84

GCD(4, 84) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 649

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

LCM(4, 649) = 2596

GCD(4, 649) = ( 4 x 649 ) / 2596

GCD(4, 649) = 2596 / 2596

GCD(4, 649) = 1

GCD of 988, 940, 84, 649 is 1

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1. What is the GCD of 988, 940, 84, 649?

GCD of 988, 940, 84, 649 is 1

2. Where do I get the detailed procedure to find GCD of 988, 940, 84, 649?

You can find a detailed procedure to find GCD of 988, 940, 84, 649 on our page.

3. How to find GCD of 988, 940, 84, 649 on a calculator?

You can find the GCD of 988, 940, 84, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.