GCD of 107, 600, 69, 286 Calculator

Given Input numbers are 107, 600, 69, 286

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 107, 600, 69, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 600, 69, 286 is 1.

Therefore, GCD of numbers 107, 600, 69, 286 is 1

Given Input Data is 107, 600, 69, 286

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

Prime Factorization of 107 is 107

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 69 is 3 x 23

Prime Factorization of 286 is 2 x 11 x 13

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(107, 600) = 64200

GCD(107, 600) = ( 107 x 600 ) / 64200

GCD(107, 600) = 64200 / 64200

GCD(107, 600) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 1

GCD of 107, 600, 69, 286 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 201, 111, 32, 564
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• GCD of 438, 333, 94, 320
• GCD of 252, 561, 91, 230
• GCD of 146, 541, 34, 152

1. What is the GCD of 107, 600, 69, 286?

GCD of 107, 600, 69, 286 is 1

2. Where do I get the detailed procedure to find GCD of 107, 600, 69, 286?

You can find a detailed procedure to find GCD of 107, 600, 69, 286 on our page.

3. How to find GCD of 107, 600, 69, 286 on a calculator?

You can find the GCD of 107, 600, 69, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.