GCD of 409, 760, 828, 126 Calculator

Given Input numbers are 409, 760, 828, 126

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

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Greatest Common Divisior

We found the divisors of 409, 760, 828, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 760, 828, 126 is 1.

Therefore, GCD of numbers 409, 760, 828, 126 is 1

Given Input Data is 409, 760, 828, 126

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

Prime Factorization of 409 is 409

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 126 is 2 x 3 x 3 x 7

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(409, 760) = 310840

GCD(409, 760) = ( 409 x 760 ) / 310840

GCD(409, 760) = 310840 / 310840

GCD(409, 760) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

GCD of 409, 760, 828, 126 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 627, 240, 721
• GCD of 901, 183, 903, 347
• GCD of 903, 660, 874, 739
• GCD of 954, 271, 840, 354
• GCD of 864, 914, 439, 826

1. What is the GCD of 409, 760, 828, 126?

GCD of 409, 760, 828, 126 is 1

2. Where do I get the detailed procedure to find GCD of 409, 760, 828, 126?

You can find a detailed procedure to find GCD of 409, 760, 828, 126 on our page.

3. How to find GCD of 409, 760, 828, 126 on a calculator?

You can find the GCD of 409, 760, 828, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.