GCD of 39, 632, 714, 782 Calculator

Given Input numbers are 39, 632, 714, 782

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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 39, 632, 714, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 632, 714, 782 is 1.

Therefore, GCD of numbers 39, 632, 714, 782 is 1

Given Input Data is 39, 632, 714, 782

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 714 is 2 x 3 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(39, 632) = 24648

GCD(39, 632) = ( 39 x 632 ) / 24648

GCD(39, 632) = 24648 / 24648

GCD(39, 632) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 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 39, 632, 714, 782 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 459, 692, 759
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• GCD of 17, 762, 150, 724
• GCD of 58, 907, 977, 327

1. What is the GCD of 39, 632, 714, 782?

GCD of 39, 632, 714, 782 is 1

2. Where do I get the detailed procedure to find GCD of 39, 632, 714, 782?

You can find a detailed procedure to find GCD of 39, 632, 714, 782 on our page.

3. How to find GCD of 39, 632, 714, 782 on a calculator?

You can find the GCD of 39, 632, 714, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.