GCD of 280, 900, 77, 315 Calculator

Given Input numbers are 280, 900, 77, 315

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

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

Divisors of 77

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

1, 7, 11, 77

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 280, 900, 77, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 900, 77, 315 is 1.

Therefore, GCD of numbers 280, 900, 77, 315 is 1

Given Input Data is 280, 900, 77, 315

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 77 is 7 x 11

Prime Factorization of 315 is 3 x 3 x 5 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(280, 900) = 12600

GCD(280, 900) = ( 280 x 900 ) / 12600

GCD(280, 900) = 252000 / 12600

GCD(280, 900) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 77

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

LCM(20, 77) = 1540

GCD(20, 77) = ( 20 x 77 ) / 1540

GCD(20, 77) = 1540 / 1540

GCD(20, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

GCD of 280, 900, 77, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 879, 663, 90, 189
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• GCD of 666, 179, 94, 338
• GCD of 341, 848, 16, 775

1. What is the GCD of 280, 900, 77, 315?

GCD of 280, 900, 77, 315 is 1

2. Where do I get the detailed procedure to find GCD of 280, 900, 77, 315?

You can find a detailed procedure to find GCD of 280, 900, 77, 315 on our page.

3. How to find GCD of 280, 900, 77, 315 on a calculator?

You can find the GCD of 280, 900, 77, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.