GCD of 50, 745, 415, 213 Calculator

Given Input numbers are 50, 745, 415, 213

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 50, 745, 415, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 745, 415, 213 is 1.

Therefore, GCD of numbers 50, 745, 415, 213 is 1

Given Input Data is 50, 745, 415, 213

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 745 is 5 x 149

Prime Factorization of 415 is 5 x 83

Prime Factorization of 213 is 3 x 71

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(50, 745) = 7450

GCD(50, 745) = ( 50 x 745 ) / 7450

GCD(50, 745) = 37250 / 7450

GCD(50, 745) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 415

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

LCM(5, 415) = 415

GCD(5, 415) = ( 5 x 415 ) / 415

GCD(5, 415) = 2075 / 415

GCD(5, 415) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 213

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

LCM(5, 213) = 1065

GCD(5, 213) = ( 5 x 213 ) / 1065

GCD(5, 213) = 1065 / 1065

GCD(5, 213) = 1

GCD of 50, 745, 415, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 131, 801, 700
• GCD of 45, 901, 460, 548
• GCD of 87, 947, 546, 490
• GCD of 91, 960, 231, 419
• GCD of 96, 852, 726, 836

1. What is the GCD of 50, 745, 415, 213?

GCD of 50, 745, 415, 213 is 1

2. Where do I get the detailed procedure to find GCD of 50, 745, 415, 213?

You can find a detailed procedure to find GCD of 50, 745, 415, 213 on our page.

3. How to find GCD of 50, 745, 415, 213 on a calculator?

You can find the GCD of 50, 745, 415, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.