GCD of 600, 260, 50, 117 Calculator

Given Input numbers are 600, 260, 50, 117

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

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 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 600, 260, 50, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 260, 50, 117 is 1.

Therefore, GCD of numbers 600, 260, 50, 117 is 1

Given Input Data is 600, 260, 50, 117

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

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 117 is 3 x 3 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(600, 260) = 7800

GCD(600, 260) = ( 600 x 260 ) / 7800

GCD(600, 260) = 156000 / 7800

GCD(600, 260) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 50

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

LCM(20, 50) = 100

GCD(20, 50) = ( 20 x 50 ) / 100

GCD(20, 50) = 1000 / 100

GCD(20, 50) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 117

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

LCM(10, 117) = 1170

GCD(10, 117) = ( 10 x 117 ) / 1170

GCD(10, 117) = 1170 / 1170

GCD(10, 117) = 1

GCD of 600, 260, 50, 117 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 569, 954, 42, 163
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• GCD of 928, 291, 14, 640
• GCD of 661, 566, 67, 951
• GCD of 446, 414, 63, 829

1. What is the GCD of 600, 260, 50, 117?

GCD of 600, 260, 50, 117 is 1

2. Where do I get the detailed procedure to find GCD of 600, 260, 50, 117?

You can find a detailed procedure to find GCD of 600, 260, 50, 117 on our page.

3. How to find GCD of 600, 260, 50, 117 on a calculator?

You can find the GCD of 600, 260, 50, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.