GCD of 351, 314, 77, 900 Calculator

Given Input numbers are 351, 314, 77, 900

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

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 351, 314, 77, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 314, 77, 900 is 1.

Therefore, GCD of numbers 351, 314, 77, 900 is 1

Given Input Data is 351, 314, 77, 900

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

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 314 is 2 x 157

Prime Factorization of 77 is 7 x 11

Prime Factorization of 900 is 2 x 2 x 3 x 3 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(351, 314) = 110214

GCD(351, 314) = ( 351 x 314 ) / 110214

GCD(351, 314) = 110214 / 110214

GCD(351, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 351, 314, 77, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 796, 14, 679
• GCD of 715, 714, 66, 247
• GCD of 578, 630, 97, 581
• GCD of 905, 819, 95, 352
• GCD of 738, 218, 93, 466

1. What is the GCD of 351, 314, 77, 900?

GCD of 351, 314, 77, 900 is 1

2. Where do I get the detailed procedure to find GCD of 351, 314, 77, 900?

You can find a detailed procedure to find GCD of 351, 314, 77, 900 on our page.

3. How to find GCD of 351, 314, 77, 900 on a calculator?

You can find the GCD of 351, 314, 77, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.