GCD of 745, 396, 869, 752 Calculator

Given Input numbers are 745, 396, 869, 752

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

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

Greatest Common Divisior

We found the divisors of 745, 396, 869, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 396, 869, 752 is 1.

Therefore, GCD of numbers 745, 396, 869, 752 is 1

Given Input Data is 745, 396, 869, 752

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 869 is 11 x 79

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

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(745, 396) = 295020

GCD(745, 396) = ( 745 x 396 ) / 295020

GCD(745, 396) = 295020 / 295020

GCD(745, 396) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 869

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

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

GCD(1, 869) = 869 / 869

GCD(1, 869) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

GCD of 745, 396, 869, 752 is 1

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1. What is the GCD of 745, 396, 869, 752?

GCD of 745, 396, 869, 752 is 1

2. Where do I get the detailed procedure to find GCD of 745, 396, 869, 752?

You can find a detailed procedure to find GCD of 745, 396, 869, 752 on our page.

3. How to find GCD of 745, 396, 869, 752 on a calculator?

You can find the GCD of 745, 396, 869, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.