GCD of 718, 992, 735, 783 Calculator

Given Input numbers are 718, 992, 735, 783

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

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

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 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Greatest Common Divisior

We found the divisors of 718, 992, 735, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 992, 735, 783 is 1.

Therefore, GCD of numbers 718, 992, 735, 783 is 1

Given Input Data is 718, 992, 735, 783

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

Prime Factorization of 718 is 2 x 359

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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

Prime Factorization of 783 is 3 x 3 x 3 x 29

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(718, 992) = 356128

GCD(718, 992) = ( 718 x 992 ) / 356128

GCD(718, 992) = 712256 / 356128

GCD(718, 992) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 735

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

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

GCD(2, 735) = 1470 / 1470

GCD(2, 735) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 783

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

LCM(1, 783) = 783

GCD(1, 783) = ( 1 x 783 ) / 783

GCD(1, 783) = 783 / 783

GCD(1, 783) = 1

GCD of 718, 992, 735, 783 is 1

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1. What is the GCD of 718, 992, 735, 783?

GCD of 718, 992, 735, 783 is 1

2. Where do I get the detailed procedure to find GCD of 718, 992, 735, 783?

You can find a detailed procedure to find GCD of 718, 992, 735, 783 on our page.

3. How to find GCD of 718, 992, 735, 783 on a calculator?

You can find the GCD of 718, 992, 735, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.