GCD of 789, 434, 96, 700 Calculator

Given Input numbers are 789, 434, 96, 700

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

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 789, 434, 96, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 434, 96, 700 is 1.

Therefore, GCD of numbers 789, 434, 96, 700 is 1

Given Input Data is 789, 434, 96, 700

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

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(789, 434) = 342426

GCD(789, 434) = ( 789 x 434 ) / 342426

GCD(789, 434) = 342426 / 342426

GCD(789, 434) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 789, 434, 96, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 407, 39, 740
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• GCD of 939, 825, 31, 527
• GCD of 610, 185, 40, 380

1. What is the GCD of 789, 434, 96, 700?

GCD of 789, 434, 96, 700 is 1

2. Where do I get the detailed procedure to find GCD of 789, 434, 96, 700?

You can find a detailed procedure to find GCD of 789, 434, 96, 700 on our page.

3. How to find GCD of 789, 434, 96, 700 on a calculator?

You can find the GCD of 789, 434, 96, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.