GCD of 528, 371, 618, 407 Calculator

Given Input numbers are 528, 371, 618, 407

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

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 528, 371, 618, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 371, 618, 407 is 1.

Therefore, GCD of numbers 528, 371, 618, 407 is 1

Given Input Data is 528, 371, 618, 407

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 371 is 7 x 53

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 407 is 11 x 37

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(528, 371) = 195888

GCD(528, 371) = ( 528 x 371 ) / 195888

GCD(528, 371) = 195888 / 195888

GCD(528, 371) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 618

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

LCM(1, 618) = 618

GCD(1, 618) = ( 1 x 618 ) / 618

GCD(1, 618) = 618 / 618

GCD(1, 618) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

GCD of 528, 371, 618, 407 is 1

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1. What is the GCD of 528, 371, 618, 407?

GCD of 528, 371, 618, 407 is 1

2. Where do I get the detailed procedure to find GCD of 528, 371, 618, 407?

You can find a detailed procedure to find GCD of 528, 371, 618, 407 on our page.

3. How to find GCD of 528, 371, 618, 407 on a calculator?

You can find the GCD of 528, 371, 618, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.