GCD of 46, 345, 876, 926 Calculator

Given Input numbers are 46, 345, 876, 926

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Greatest Common Divisior

We found the divisors of 46, 345, 876, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 345, 876, 926 is 1.

Therefore, GCD of numbers 46, 345, 876, 926 is 1

Given Input Data is 46, 345, 876, 926

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 926 is 2 x 463

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(46, 345) = 690

GCD(46, 345) = ( 46 x 345 ) / 690

GCD(46, 345) = 15870 / 690

GCD(46, 345) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 876

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

LCM(23, 876) = 20148

GCD(23, 876) = ( 23 x 876 ) / 20148

GCD(23, 876) = 20148 / 20148

GCD(23, 876) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 926

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

LCM(1, 926) = 926

GCD(1, 926) = ( 1 x 926 ) / 926

GCD(1, 926) = 926 / 926

GCD(1, 926) = 1

GCD of 46, 345, 876, 926 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 192, 931, 403
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• GCD of 13, 482, 487, 174

1. What is the GCD of 46, 345, 876, 926?

GCD of 46, 345, 876, 926 is 1

2. Where do I get the detailed procedure to find GCD of 46, 345, 876, 926?

You can find a detailed procedure to find GCD of 46, 345, 876, 926 on our page.

3. How to find GCD of 46, 345, 876, 926 on a calculator?

You can find the GCD of 46, 345, 876, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.