GCD of 120, 717, 237, 635 Calculator

Given Input numbers are 120, 717, 237, 635

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

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 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Greatest Common Divisior

We found the divisors of 120, 717, 237, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 717, 237, 635 is 1.

Therefore, GCD of numbers 120, 717, 237, 635 is 1

Given Input Data is 120, 717, 237, 635

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

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 237 is 3 x 79

Prime Factorization of 635 is 5 x 127

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(120, 717) = 28680

GCD(120, 717) = ( 120 x 717 ) / 28680

GCD(120, 717) = 86040 / 28680

GCD(120, 717) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 237

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

LCM(3, 237) = 237

GCD(3, 237) = ( 3 x 237 ) / 237

GCD(3, 237) = 711 / 237

GCD(3, 237) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 635

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

LCM(3, 635) = 1905

GCD(3, 635) = ( 3 x 635 ) / 1905

GCD(3, 635) = 1905 / 1905

GCD(3, 635) = 1

GCD of 120, 717, 237, 635 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 356, 484, 798
• GCD of 414, 967, 569, 212
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• GCD of 124, 231, 318, 885
• GCD of 421, 660, 507, 784

1. What is the GCD of 120, 717, 237, 635?

GCD of 120, 717, 237, 635 is 1

2. Where do I get the detailed procedure to find GCD of 120, 717, 237, 635?

You can find a detailed procedure to find GCD of 120, 717, 237, 635 on our page.

3. How to find GCD of 120, 717, 237, 635 on a calculator?

You can find the GCD of 120, 717, 237, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.