GCD of 91, 209, 759, 546 Calculator

Given Input numbers are 91, 209, 759, 546

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

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

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 91, 209, 759, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 209, 759, 546 is 1.

Therefore, GCD of numbers 91, 209, 759, 546 is 1

Given Input Data is 91, 209, 759, 546

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 209 is 11 x 19

Prime Factorization of 759 is 3 x 11 x 23

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(91, 209) = 19019

GCD(91, 209) = ( 91 x 209 ) / 19019

GCD(91, 209) = 19019 / 19019

GCD(91, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 759

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

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

GCD(1, 759) = 759 / 759

GCD(1, 759) = 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 91, 209, 759, 546 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 517, 818, 352
• GCD of 21, 373, 656, 390
• GCD of 26, 869, 203, 558
• GCD of 32, 777, 118, 394
• GCD of 25, 459, 957, 874

1. What is the GCD of 91, 209, 759, 546?

GCD of 91, 209, 759, 546 is 1

2. Where do I get the detailed procedure to find GCD of 91, 209, 759, 546?

You can find a detailed procedure to find GCD of 91, 209, 759, 546 on our page.

3. How to find GCD of 91, 209, 759, 546 on a calculator?

You can find the GCD of 91, 209, 759, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.