GCD of 987, 105, 991, 546 Calculator

Given Input numbers are 987, 105, 991, 546

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

Divisors of 987

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

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

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

Greatest Common Divisior

We found the divisors of 987, 105, 991, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 105, 991, 546 is 1.

Therefore, GCD of numbers 987, 105, 991, 546 is 1

Given Input Data is 987, 105, 991, 546

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 991 is 991

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

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(987, 105) = 4935

GCD(987, 105) = ( 987 x 105 ) / 4935

GCD(987, 105) = 103635 / 4935

GCD(987, 105) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 991

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

LCM(21, 991) = 20811

GCD(21, 991) = ( 21 x 991 ) / 20811

GCD(21, 991) = 20811 / 20811

GCD(21, 991) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 546

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

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

GCD(1, 546) = 546 / 546

GCD(1, 546) = 1

GCD of 987, 105, 991, 546 is 1

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1. What is the GCD of 987, 105, 991, 546?

GCD of 987, 105, 991, 546 is 1

2. Where do I get the detailed procedure to find GCD of 987, 105, 991, 546?

You can find a detailed procedure to find GCD of 987, 105, 991, 546 on our page.

3. How to find GCD of 987, 105, 991, 546 on a calculator?

You can find the GCD of 987, 105, 991, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.