GCD of 41, 553, 350, 123 Calculator

Given Input numbers are 41, 553, 350, 123

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

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 41, 553, 350, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 553, 350, 123 is 1.

Therefore, GCD of numbers 41, 553, 350, 123 is 1

Given Input Data is 41, 553, 350, 123

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

Prime Factorization of 41 is 41

Prime Factorization of 553 is 7 x 79

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 123 is 3 x 41

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(41, 553) = 22673

GCD(41, 553) = ( 41 x 553 ) / 22673

GCD(41, 553) = 22673 / 22673

GCD(41, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 41, 553, 350, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 433, 714, 722
• GCD of 11, 859, 950, 310
• GCD of 10, 707, 642, 124
• GCD of 37, 478, 891, 973
• GCD of 99, 861, 159, 670

1. What is the GCD of 41, 553, 350, 123?

GCD of 41, 553, 350, 123 is 1

2. Where do I get the detailed procedure to find GCD of 41, 553, 350, 123?

You can find a detailed procedure to find GCD of 41, 553, 350, 123 on our page.

3. How to find GCD of 41, 553, 350, 123 on a calculator?

You can find the GCD of 41, 553, 350, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.