GCD of 988, 735, 10, 782 Calculator

Given Input numbers are 988, 735, 10, 782

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

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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 988, 735, 10, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 735, 10, 782 is 1.

Therefore, GCD of numbers 988, 735, 10, 782 is 1

Given Input Data is 988, 735, 10, 782

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 10 is 2 x 5

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(988, 735) = 726180

GCD(988, 735) = ( 988 x 735 ) / 726180

GCD(988, 735) = 726180 / 726180

GCD(988, 735) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 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 988, 735, 10, 782 is 1

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1. What is the GCD of 988, 735, 10, 782?

GCD of 988, 735, 10, 782 is 1

2. Where do I get the detailed procedure to find GCD of 988, 735, 10, 782?

You can find a detailed procedure to find GCD of 988, 735, 10, 782 on our page.

3. How to find GCD of 988, 735, 10, 782 on a calculator?

You can find the GCD of 988, 735, 10, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.