GCD of 789, 262, 374 Calculator

Given Input numbers are 789, 262, 374

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 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 789, 262, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 262, 374 is 1.

Therefore, GCD of numbers 789, 262, 374 is 1

Given Input Data is 789, 262, 374

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 262 is 2 x 131

Prime Factorization of 374 is 2 x 11 x 17

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, 262) = 206718

GCD(789, 262) = ( 789 x 262 ) / 206718

GCD(789, 262) = 206718 / 206718

GCD(789, 262) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

GCD of 789, 262, 374 is 1

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1. What is the GCD of 789, 262, 374?

GCD of 789, 262, 374 is 1

2. Where do I get the detailed procedure to find GCD of 789, 262, 374?

You can find a detailed procedure to find GCD of 789, 262, 374 on our page.

3. How to find GCD of 789, 262, 374 on a calculator?

You can find the GCD of 789, 262, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.