GCD of 546, 649, 69, 991 Calculator

Given Input numbers are 546, 649, 69, 991

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 649

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

1, 11, 59, 649

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 991

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

1, 991

Greatest Common Divisior

We found the divisors of 546, 649, 69, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 649, 69, 991 is 1.

Therefore, GCD of numbers 546, 649, 69, 991 is 1

Given Input Data is 546, 649, 69, 991

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 649 is 11 x 59

Prime Factorization of 69 is 3 x 23

Prime Factorization of 991 is 991

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, 649) = 354354

GCD(546, 649) = ( 546 x 649 ) / 354354

GCD(546, 649) = 354354 / 354354

GCD(546, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 546, 649, 69, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 441, 679, 40, 676
• GCD of 344, 622, 54, 949
• GCD of 418, 125, 37, 101
• GCD of 701, 356, 24, 489
• GCD of 982, 239, 97, 824

1. What is the GCD of 546, 649, 69, 991?

GCD of 546, 649, 69, 991 is 1

2. Where do I get the detailed procedure to find GCD of 546, 649, 69, 991?

You can find a detailed procedure to find GCD of 546, 649, 69, 991 on our page.

3. How to find GCD of 546, 649, 69, 991 on a calculator?

You can find the GCD of 546, 649, 69, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.