GCD of 756, 546, 875, 991 Calculator

Given Input numbers are 756, 546, 875, 991

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

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 756, 546, 875, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 546, 875, 991 is 1.

Therefore, GCD of numbers 756, 546, 875, 991 is 1

Given Input Data is 756, 546, 875, 991

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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

Prime Factorization of 875 is 5 x 5 x 5 x 7

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(756, 546) = 9828

GCD(756, 546) = ( 756 x 546 ) / 9828

GCD(756, 546) = 412776 / 9828

GCD(756, 546) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 875

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

LCM(42, 875) = 5250

GCD(42, 875) = ( 42 x 875 ) / 5250

GCD(42, 875) = 36750 / 5250

GCD(42, 875) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 991

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

LCM(7, 991) = 6937

GCD(7, 991) = ( 7 x 991 ) / 6937

GCD(7, 991) = 6937 / 6937

GCD(7, 991) = 1

GCD of 756, 546, 875, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 433, 187, 299, 902
• GCD of 857, 195, 329, 378
• GCD of 717, 389, 735, 532
• GCD of 193, 665, 933, 742
• GCD of 182, 226, 406, 378

1. What is the GCD of 756, 546, 875, 991?

GCD of 756, 546, 875, 991 is 1

2. Where do I get the detailed procedure to find GCD of 756, 546, 875, 991?

You can find a detailed procedure to find GCD of 756, 546, 875, 991 on our page.

3. How to find GCD of 756, 546, 875, 991 on a calculator?

You can find the GCD of 756, 546, 875, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.