GCD of 900, 119, 610, 709 Calculator

Given Input numbers are 900, 119, 610, 709

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

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 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 900, 119, 610, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 119, 610, 709 is 1.

Therefore, GCD of numbers 900, 119, 610, 709 is 1

Given Input Data is 900, 119, 610, 709

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

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 709 is 709

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(900, 119) = 107100

GCD(900, 119) = ( 900 x 119 ) / 107100

GCD(900, 119) = 107100 / 107100

GCD(900, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 610

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

LCM(1, 610) = 610

GCD(1, 610) = ( 1 x 610 ) / 610

GCD(1, 610) = 610 / 610

GCD(1, 610) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 900, 119, 610, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 821, 848, 671, 295
• GCD of 309, 939, 311, 532
• GCD of 261, 108, 106, 232
• GCD of 943, 411, 705, 450
• GCD of 776, 265, 859, 732

1. What is the GCD of 900, 119, 610, 709?

GCD of 900, 119, 610, 709 is 1

2. Where do I get the detailed procedure to find GCD of 900, 119, 610, 709?

You can find a detailed procedure to find GCD of 900, 119, 610, 709 on our page.

3. How to find GCD of 900, 119, 610, 709 on a calculator?

You can find the GCD of 900, 119, 610, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.