GCD of 107, 420, 67, 230 Calculator

Given Input numbers are 107, 420, 67, 230

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 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Greatest Common Divisior

We found the divisors of 107, 420, 67, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 420, 67, 230 is 1.

Therefore, GCD of numbers 107, 420, 67, 230 is 1

Given Input Data is 107, 420, 67, 230

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

Prime Factorization of 107 is 107

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 67 is 67

Prime Factorization of 230 is 2 x 5 x 23

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, 420) = 44940

GCD(107, 420) = ( 107 x 420 ) / 44940

GCD(107, 420) = 44940 / 44940

GCD(107, 420) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 230

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

LCM(1, 230) = 230

GCD(1, 230) = ( 1 x 230 ) / 230

GCD(1, 230) = 230 / 230

GCD(1, 230) = 1

GCD of 107, 420, 67, 230 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 225, 450, 16, 601
• GCD of 160, 206, 10, 501
• GCD of 676, 715, 63, 827
• GCD of 979, 990, 39, 697
• GCD of 814, 920, 15, 793

1. What is the GCD of 107, 420, 67, 230?

GCD of 107, 420, 67, 230 is 1

2. Where do I get the detailed procedure to find GCD of 107, 420, 67, 230?

You can find a detailed procedure to find GCD of 107, 420, 67, 230 on our page.

3. How to find GCD of 107, 420, 67, 230 on a calculator?

You can find the GCD of 107, 420, 67, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.