GCD of 920, 924, 726, 765 Calculator

Given Input numbers are 920, 924, 726, 765

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 920, 924, 726, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 924, 726, 765 is 1.

Therefore, GCD of numbers 920, 924, 726, 765 is 1

Given Input Data is 920, 924, 726, 765

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 765 is 3 x 3 x 5 x 17

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(920, 924) = 212520

GCD(920, 924) = ( 920 x 924 ) / 212520

GCD(920, 924) = 850080 / 212520

GCD(920, 924) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 726

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

LCM(4, 726) = 1452

GCD(4, 726) = ( 4 x 726 ) / 1452

GCD(4, 726) = 2904 / 1452

GCD(4, 726) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 765

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

LCM(2, 765) = 1530

GCD(2, 765) = ( 2 x 765 ) / 1530

GCD(2, 765) = 1530 / 1530

GCD(2, 765) = 1

GCD of 920, 924, 726, 765 is 1

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1. What is the GCD of 920, 924, 726, 765?

GCD of 920, 924, 726, 765 is 1

2. Where do I get the detailed procedure to find GCD of 920, 924, 726, 765?

You can find a detailed procedure to find GCD of 920, 924, 726, 765 on our page.

3. How to find GCD of 920, 924, 726, 765 on a calculator?

You can find the GCD of 920, 924, 726, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.