GCD of 10, 221, 145, 407 Calculator

Given Input numbers are 10, 221, 145, 407

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 10, 221, 145, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 221, 145, 407 is 1.

Therefore, GCD of numbers 10, 221, 145, 407 is 1

Given Input Data is 10, 221, 145, 407

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 221 is 13 x 17

Prime Factorization of 145 is 5 x 29

Prime Factorization of 407 is 11 x 37

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(10, 221) = 2210

GCD(10, 221) = ( 10 x 221 ) / 2210

GCD(10, 221) = 2210 / 2210

GCD(10, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

GCD of 10, 221, 145, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 463, 782, 412
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• GCD of 58, 298, 478, 599
• GCD of 94, 260, 839, 974
• GCD of 99, 356, 383, 399

1. What is the GCD of 10, 221, 145, 407?

GCD of 10, 221, 145, 407 is 1

2. Where do I get the detailed procedure to find GCD of 10, 221, 145, 407?

You can find a detailed procedure to find GCD of 10, 221, 145, 407 on our page.

3. How to find GCD of 10, 221, 145, 407 on a calculator?

You can find the GCD of 10, 221, 145, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.