GCD of 769, 292, 973, 342 Calculator

Given Input numbers are 769, 292, 973, 342

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

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 769, 292, 973, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 292, 973, 342 is 1.

Therefore, GCD of numbers 769, 292, 973, 342 is 1

Given Input Data is 769, 292, 973, 342

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

Prime Factorization of 769 is 769

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 973 is 7 x 139

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(769, 292) = 224548

GCD(769, 292) = ( 769 x 292 ) / 224548

GCD(769, 292) = 224548 / 224548

GCD(769, 292) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 769, 292, 973, 342 is 1

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1. What is the GCD of 769, 292, 973, 342?

GCD of 769, 292, 973, 342 is 1

2. Where do I get the detailed procedure to find GCD of 769, 292, 973, 342?

You can find a detailed procedure to find GCD of 769, 292, 973, 342 on our page.

3. How to find GCD of 769, 292, 973, 342 on a calculator?

You can find the GCD of 769, 292, 973, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.