GCD of 207, 850, 120, 289 Calculator

Given Input numbers are 207, 850, 120, 289

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

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 207, 850, 120, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 850, 120, 289 is 1.

Therefore, GCD of numbers 207, 850, 120, 289 is 1

Given Input Data is 207, 850, 120, 289

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

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 289 is 17 x 17

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(207, 850) = 175950

GCD(207, 850) = ( 207 x 850 ) / 175950

GCD(207, 850) = 175950 / 175950

GCD(207, 850) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 207, 850, 120, 289 is 1

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• GCD of 673, 412, 721, 118
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1. What is the GCD of 207, 850, 120, 289?

GCD of 207, 850, 120, 289 is 1

2. Where do I get the detailed procedure to find GCD of 207, 850, 120, 289?

You can find a detailed procedure to find GCD of 207, 850, 120, 289 on our page.

3. How to find GCD of 207, 850, 120, 289 on a calculator?

You can find the GCD of 207, 850, 120, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.