GCD of 425, 748, 346, 676 Calculator

Given Input numbers are 425, 748, 346, 676

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

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

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 425, 748, 346, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 425, 748, 346, 676 is 1.

Therefore, GCD of numbers 425, 748, 346, 676 is 1

Given Input Data is 425, 748, 346, 676

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

Prime Factorization of 425 is 5 x 5 x 17

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 346 is 2 x 173

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(425, 748) = 18700

GCD(425, 748) = ( 425 x 748 ) / 18700

GCD(425, 748) = 317900 / 18700

GCD(425, 748) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 346

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

LCM(17, 346) = 5882

GCD(17, 346) = ( 17 x 346 ) / 5882

GCD(17, 346) = 5882 / 5882

GCD(17, 346) = 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 425, 748, 346, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 678, 342, 476
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• GCD of 349, 755, 936, 561

1. What is the GCD of 425, 748, 346, 676?

GCD of 425, 748, 346, 676 is 1

2. Where do I get the detailed procedure to find GCD of 425, 748, 346, 676?

You can find a detailed procedure to find GCD of 425, 748, 346, 676 on our page.

3. How to find GCD of 425, 748, 346, 676 on a calculator?

You can find the GCD of 425, 748, 346, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.