GCD of 752, 920, 462, 547 Calculator

Given Input numbers are 752, 920, 462, 547

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Greatest Common Divisior

We found the divisors of 752, 920, 462, 547 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 920, 462, 547 is 1.

Therefore, GCD of numbers 752, 920, 462, 547 is 1

Given Input Data is 752, 920, 462, 547

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 547 is 547

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(752, 920) = 86480

GCD(752, 920) = ( 752 x 920 ) / 86480

GCD(752, 920) = 691840 / 86480

GCD(752, 920) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 462

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

LCM(8, 462) = 1848

GCD(8, 462) = ( 8 x 462 ) / 1848

GCD(8, 462) = 3696 / 1848

GCD(8, 462) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 547

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

LCM(2, 547) = 1094

GCD(2, 547) = ( 2 x 547 ) / 1094

GCD(2, 547) = 1094 / 1094

GCD(2, 547) = 1

GCD of 752, 920, 462, 547 is 1

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1. What is the GCD of 752, 920, 462, 547?

GCD of 752, 920, 462, 547 is 1

2. Where do I get the detailed procedure to find GCD of 752, 920, 462, 547?

You can find a detailed procedure to find GCD of 752, 920, 462, 547 on our page.

3. How to find GCD of 752, 920, 462, 547 on a calculator?

You can find the GCD of 752, 920, 462, 547 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.