GCD of 15, 701, 952, 782 Calculator

Given Input numbers are 15, 701, 952, 782

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

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 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 15, 701, 952, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 701, 952, 782 is 1.

Therefore, GCD of numbers 15, 701, 952, 782 is 1

Given Input Data is 15, 701, 952, 782

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 701 is 701

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

Prime Factorization of 782 is 2 x 17 x 23

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(15, 701) = 10515

GCD(15, 701) = ( 15 x 701 ) / 10515

GCD(15, 701) = 10515 / 10515

GCD(15, 701) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 952

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

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

GCD(1, 952) = 952 / 952

GCD(1, 952) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 15, 701, 952, 782 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 864, 218, 744
• GCD of 53, 667, 647, 328
• GCD of 86, 935, 650, 501
• GCD of 82, 932, 592, 548
• GCD of 25, 467, 670, 143

1. What is the GCD of 15, 701, 952, 782?

GCD of 15, 701, 952, 782 is 1

2. Where do I get the detailed procedure to find GCD of 15, 701, 952, 782?

You can find a detailed procedure to find GCD of 15, 701, 952, 782 on our page.

3. How to find GCD of 15, 701, 952, 782 on a calculator?

You can find the GCD of 15, 701, 952, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.