GCD of 676, 646, 774, 429 Calculator

Given Input numbers are 676, 646, 774, 429

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Greatest Common Divisior

We found the divisors of 676, 646, 774, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 646, 774, 429 is 1.

Therefore, GCD of numbers 676, 646, 774, 429 is 1

Given Input Data is 676, 646, 774, 429

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 429 is 3 x 11 x 13

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(676, 646) = 218348

GCD(676, 646) = ( 676 x 646 ) / 218348

GCD(676, 646) = 436696 / 218348

GCD(676, 646) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 774

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

LCM(2, 774) = 774

GCD(2, 774) = ( 2 x 774 ) / 774

GCD(2, 774) = 1548 / 774

GCD(2, 774) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 429

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

LCM(2, 429) = 858

GCD(2, 429) = ( 2 x 429 ) / 858

GCD(2, 429) = 858 / 858

GCD(2, 429) = 1

GCD of 676, 646, 774, 429 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 493, 727, 943, 223
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• GCD of 348, 754, 251, 971
• GCD of 925, 841, 611, 194
• GCD of 250, 633, 453, 354

1. What is the GCD of 676, 646, 774, 429?

GCD of 676, 646, 774, 429 is 1

2. Where do I get the detailed procedure to find GCD of 676, 646, 774, 429?

You can find a detailed procedure to find GCD of 676, 646, 774, 429 on our page.

3. How to find GCD of 676, 646, 774, 429 on a calculator?

You can find the GCD of 676, 646, 774, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.