GCD of 220, 210, 21, 745 Calculator

Given Input numbers are 220, 210, 21, 745

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 745

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

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 220, 210, 21, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 210, 21, 745 is 1.

Therefore, GCD of numbers 220, 210, 21, 745 is 1

Given Input Data is 220, 210, 21, 745

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 21 is 3 x 7

Prime Factorization of 745 is 5 x 149

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(220, 210) = 4620

GCD(220, 210) = ( 220 x 210 ) / 4620

GCD(220, 210) = 46200 / 4620

GCD(220, 210) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 21

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

LCM(10, 21) = 210

GCD(10, 21) = ( 10 x 21 ) / 210

GCD(10, 21) = 210 / 210

GCD(10, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 220, 210, 21, 745 is 1

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• GCD of 173, 396, 77, 337
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• GCD of 782, 676, 80, 907

1. What is the GCD of 220, 210, 21, 745?

GCD of 220, 210, 21, 745 is 1

2. Where do I get the detailed procedure to find GCD of 220, 210, 21, 745?

You can find a detailed procedure to find GCD of 220, 210, 21, 745 on our page.

3. How to find GCD of 220, 210, 21, 745 on a calculator?

You can find the GCD of 220, 210, 21, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.