GCD of 100, 215, 421, 435 Calculator

Given Input numbers are 100, 215, 421, 435

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Greatest Common Divisior

We found the divisors of 100, 215, 421, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 215, 421, 435 is 1.

Therefore, GCD of numbers 100, 215, 421, 435 is 1

Given Input Data is 100, 215, 421, 435

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 215 is 5 x 43

Prime Factorization of 421 is 421

Prime Factorization of 435 is 3 x 5 x 29

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(100, 215) = 4300

GCD(100, 215) = ( 100 x 215 ) / 4300

GCD(100, 215) = 21500 / 4300

GCD(100, 215) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 421

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

LCM(5, 421) = 2105

GCD(5, 421) = ( 5 x 421 ) / 2105

GCD(5, 421) = 2105 / 2105

GCD(5, 421) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 435

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

LCM(1, 435) = 435

GCD(1, 435) = ( 1 x 435 ) / 435

GCD(1, 435) = 435 / 435

GCD(1, 435) = 1

GCD of 100, 215, 421, 435 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 562, 564, 360, 713
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• GCD of 959, 711, 754, 216
• GCD of 360, 599, 687, 717
• GCD of 531, 535, 108, 391

1. What is the GCD of 100, 215, 421, 435?

GCD of 100, 215, 421, 435 is 1

2. Where do I get the detailed procedure to find GCD of 100, 215, 421, 435?

You can find a detailed procedure to find GCD of 100, 215, 421, 435 on our page.

3. How to find GCD of 100, 215, 421, 435 on a calculator?

You can find the GCD of 100, 215, 421, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.