GCD of 852, 186, 761, 741 Calculator

Given Input numbers are 852, 186, 761, 741

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Greatest Common Divisior

We found the divisors of 852, 186, 761, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 186, 761, 741 is 1.

Therefore, GCD of numbers 852, 186, 761, 741 is 1

Given Input Data is 852, 186, 761, 741

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 761 is 761

Prime Factorization of 741 is 3 x 13 x 19

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(852, 186) = 26412

GCD(852, 186) = ( 852 x 186 ) / 26412

GCD(852, 186) = 158472 / 26412

GCD(852, 186) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 761

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

LCM(6, 761) = 4566

GCD(6, 761) = ( 6 x 761 ) / 4566

GCD(6, 761) = 4566 / 4566

GCD(6, 761) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 741

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

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

GCD(1, 741) = 741 / 741

GCD(1, 741) = 1

GCD of 852, 186, 761, 741 is 1

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1. What is the GCD of 852, 186, 761, 741?

GCD of 852, 186, 761, 741 is 1

2. Where do I get the detailed procedure to find GCD of 852, 186, 761, 741?

You can find a detailed procedure to find GCD of 852, 186, 761, 741 on our page.

3. How to find GCD of 852, 186, 761, 741 on a calculator?

You can find the GCD of 852, 186, 761, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.