GCD of 546, 690, 20, 987 Calculator

Given Input numbers are 546, 690, 20, 987

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

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 546, 690, 20, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 690, 20, 987 is 1.

Therefore, GCD of numbers 546, 690, 20, 987 is 1

Given Input Data is 546, 690, 20, 987

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

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 987 is 3 x 7 x 47

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(546, 690) = 62790

GCD(546, 690) = ( 546 x 690 ) / 62790

GCD(546, 690) = 376740 / 62790

GCD(546, 690) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 20

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

LCM(6, 20) = 60

GCD(6, 20) = ( 6 x 20 ) / 60

GCD(6, 20) = 120 / 60

GCD(6, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 987

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

LCM(2, 987) = 1974

GCD(2, 987) = ( 2 x 987 ) / 1974

GCD(2, 987) = 1974 / 1974

GCD(2, 987) = 1

GCD of 546, 690, 20, 987 is 1

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1. What is the GCD of 546, 690, 20, 987?

GCD of 546, 690, 20, 987 is 1

2. Where do I get the detailed procedure to find GCD of 546, 690, 20, 987?

You can find a detailed procedure to find GCD of 546, 690, 20, 987 on our page.

3. How to find GCD of 546, 690, 20, 987 on a calculator?

You can find the GCD of 546, 690, 20, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.