GCD of 375, 180, 268, 206 Calculator

Given Input numbers are 375, 180, 268, 206

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

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 375, 180, 268, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 180, 268, 206 is 1.

Therefore, GCD of numbers 375, 180, 268, 206 is 1

Given Input Data is 375, 180, 268, 206

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

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 206 is 2 x 103

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(375, 180) = 4500

GCD(375, 180) = ( 375 x 180 ) / 4500

GCD(375, 180) = 67500 / 4500

GCD(375, 180) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 268

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

LCM(15, 268) = 4020

GCD(15, 268) = ( 15 x 268 ) / 4020

GCD(15, 268) = 4020 / 4020

GCD(15, 268) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

GCD of 375, 180, 268, 206 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 862, 934, 391
• GCD of 524, 226, 318, 866
• GCD of 550, 899, 967, 929
• GCD of 312, 149, 961, 679
• GCD of 823, 243, 397, 214

1. What is the GCD of 375, 180, 268, 206?

GCD of 375, 180, 268, 206 is 1

2. Where do I get the detailed procedure to find GCD of 375, 180, 268, 206?

You can find a detailed procedure to find GCD of 375, 180, 268, 206 on our page.

3. How to find GCD of 375, 180, 268, 206 on a calculator?

You can find the GCD of 375, 180, 268, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.