GCD of 60, 309, 926, 800 Calculator

Given Input numbers are 60, 309, 926, 800

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 926

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

1, 2, 463, 926

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 60, 309, 926, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 309, 926, 800 is 1.

Therefore, GCD of numbers 60, 309, 926, 800 is 1

Given Input Data is 60, 309, 926, 800

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 309 is 3 x 103

Prime Factorization of 926 is 2 x 463

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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(60, 309) = 6180

GCD(60, 309) = ( 60 x 309 ) / 6180

GCD(60, 309) = 18540 / 6180

GCD(60, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 926

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

LCM(3, 926) = 2778

GCD(3, 926) = ( 3 x 926 ) / 2778

GCD(3, 926) = 2778 / 2778

GCD(3, 926) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 60, 309, 926, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 426, 814, 953
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• GCD of 23, 631, 668, 956
• GCD of 42, 937, 320, 640
• GCD of 41, 934, 922, 925

1. What is the GCD of 60, 309, 926, 800?

GCD of 60, 309, 926, 800 is 1

2. Where do I get the detailed procedure to find GCD of 60, 309, 926, 800?

You can find a detailed procedure to find GCD of 60, 309, 926, 800 on our page.

3. How to find GCD of 60, 309, 926, 800 on a calculator?

You can find the GCD of 60, 309, 926, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.