GCD of 429, 976, 357, 676 Calculator

Given Input numbers are 429, 976, 357, 676

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

Divisors of 429

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

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

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

Greatest Common Divisior

We found the divisors of 429, 976, 357, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 976, 357, 676 is 1.

Therefore, GCD of numbers 429, 976, 357, 676 is 1

Given Input Data is 429, 976, 357, 676

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

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 676 is 2 x 2 x 13 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(429, 976) = 418704

GCD(429, 976) = ( 429 x 976 ) / 418704

GCD(429, 976) = 418704 / 418704

GCD(429, 976) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 429, 976, 357, 676 is 1

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1. What is the GCD of 429, 976, 357, 676?

GCD of 429, 976, 357, 676 is 1

2. Where do I get the detailed procedure to find GCD of 429, 976, 357, 676?

You can find a detailed procedure to find GCD of 429, 976, 357, 676 on our page.

3. How to find GCD of 429, 976, 357, 676 on a calculator?

You can find the GCD of 429, 976, 357, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.