GCD of 458, 342, 377, 769 Calculator

Given Input numbers are 458, 342, 377, 769

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

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

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

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 769

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

1, 769

Greatest Common Divisior

We found the divisors of 458, 342, 377, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 342, 377, 769 is 1.

Therefore, GCD of numbers 458, 342, 377, 769 is 1

Given Input Data is 458, 342, 377, 769

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

Prime Factorization of 458 is 2 x 229

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

Prime Factorization of 377 is 13 x 29

Prime Factorization of 769 is 769

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(458, 342) = 78318

GCD(458, 342) = ( 458 x 342 ) / 78318

GCD(458, 342) = 156636 / 78318

GCD(458, 342) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 377

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

LCM(2, 377) = 754

GCD(2, 377) = ( 2 x 377 ) / 754

GCD(2, 377) = 754 / 754

GCD(2, 377) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 769

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

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

GCD(1, 769) = 769 / 769

GCD(1, 769) = 1

GCD of 458, 342, 377, 769 is 1

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• GCD of 450, 709, 421, 434
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1. What is the GCD of 458, 342, 377, 769?

GCD of 458, 342, 377, 769 is 1

2. Where do I get the detailed procedure to find GCD of 458, 342, 377, 769?

You can find a detailed procedure to find GCD of 458, 342, 377, 769 on our page.

3. How to find GCD of 458, 342, 377, 769 on a calculator?

You can find the GCD of 458, 342, 377, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.