GCD of 387, 465, 757, 826 Calculator

Given Input numbers are 387, 465, 757, 826

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Greatest Common Divisior

We found the divisors of 387, 465, 757, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 465, 757, 826 is 1.

Therefore, GCD of numbers 387, 465, 757, 826 is 1

Given Input Data is 387, 465, 757, 826

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 757 is 757

Prime Factorization of 826 is 2 x 7 x 59

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(387, 465) = 59985

GCD(387, 465) = ( 387 x 465 ) / 59985

GCD(387, 465) = 179955 / 59985

GCD(387, 465) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 757

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

LCM(3, 757) = 2271

GCD(3, 757) = ( 3 x 757 ) / 2271

GCD(3, 757) = 2271 / 2271

GCD(3, 757) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 826

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

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

GCD of 387, 465, 757, 826 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 795, 374, 327
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• GCD of 627, 350, 896, 129

1. What is the GCD of 387, 465, 757, 826?

GCD of 387, 465, 757, 826 is 1

2. Where do I get the detailed procedure to find GCD of 387, 465, 757, 826?

You can find a detailed procedure to find GCD of 387, 465, 757, 826 on our page.

3. How to find GCD of 387, 465, 757, 826 on a calculator?

You can find the GCD of 387, 465, 757, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.