GCD of 381, 753, 952, 715 Calculator

Given Input numbers are 381, 753, 952, 715

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 381, 753, 952, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 753, 952, 715 is 1.

Therefore, GCD of numbers 381, 753, 952, 715 is 1

Given Input Data is 381, 753, 952, 715

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 753 is 3 x 251

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 715 is 5 x 11 x 13

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(381, 753) = 95631

GCD(381, 753) = ( 381 x 753 ) / 95631

GCD(381, 753) = 286893 / 95631

GCD(381, 753) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 952

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

LCM(3, 952) = 2856

GCD(3, 952) = ( 3 x 952 ) / 2856

GCD(3, 952) = 2856 / 2856

GCD(3, 952) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

GCD of 381, 753, 952, 715 is 1

Here are some samples of GCD of Numbers calculations.

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• GCD of 439, 832, 513, 699

1. What is the GCD of 381, 753, 952, 715?

GCD of 381, 753, 952, 715 is 1

2. Where do I get the detailed procedure to find GCD of 381, 753, 952, 715?

You can find a detailed procedure to find GCD of 381, 753, 952, 715 on our page.

3. How to find GCD of 381, 753, 952, 715 on a calculator?

You can find the GCD of 381, 753, 952, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.