GCD of 371, 225, 86, 105 Calculator

Given Input numbers are 371, 225, 86, 105

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

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 371, 225, 86, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 225, 86, 105 is 1.

Therefore, GCD of numbers 371, 225, 86, 105 is 1

Given Input Data is 371, 225, 86, 105

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

Prime Factorization of 371 is 7 x 53

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 86 is 2 x 43

Prime Factorization of 105 is 3 x 5 x 7

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(371, 225) = 83475

GCD(371, 225) = ( 371 x 225 ) / 83475

GCD(371, 225) = 83475 / 83475

GCD(371, 225) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 371, 225, 86, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 427, 372, 54, 791
• GCD of 565, 924, 42, 755
• GCD of 466, 602, 37, 157
• GCD of 136, 165, 35, 195
• GCD of 716, 408, 96, 630

1. What is the GCD of 371, 225, 86, 105?

GCD of 371, 225, 86, 105 is 1

2. Where do I get the detailed procedure to find GCD of 371, 225, 86, 105?

You can find a detailed procedure to find GCD of 371, 225, 86, 105 on our page.

3. How to find GCD of 371, 225, 86, 105 on a calculator?

You can find the GCD of 371, 225, 86, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.