GCD of 220, 130, 45, 724 Calculator

Given Input numbers are 220, 130, 45, 724

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 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 220, 130, 45, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 130, 45, 724 is 1.

Therefore, GCD of numbers 220, 130, 45, 724 is 1

Given Input Data is 220, 130, 45, 724

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 130 is 2 x 5 x 13

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 724 is 2 x 2 x 181

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, 130) = 2860

GCD(220, 130) = ( 220 x 130 ) / 2860

GCD(220, 130) = 28600 / 2860

GCD(220, 130) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 45

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

LCM(10, 45) = 90

GCD(10, 45) = ( 10 x 45 ) / 90

GCD(10, 45) = 450 / 90

GCD(10, 45) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 724

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

LCM(5, 724) = 3620

GCD(5, 724) = ( 5 x 724 ) / 3620

GCD(5, 724) = 3620 / 3620

GCD(5, 724) = 1

GCD of 220, 130, 45, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 397, 831, 10, 792
• GCD of 191, 642, 72, 731
• GCD of 628, 883, 90, 297
• GCD of 485, 232, 65, 833
• GCD of 435, 494, 57, 690

1. What is the GCD of 220, 130, 45, 724?

GCD of 220, 130, 45, 724 is 1

2. Where do I get the detailed procedure to find GCD of 220, 130, 45, 724?

You can find a detailed procedure to find GCD of 220, 130, 45, 724 on our page.

3. How to find GCD of 220, 130, 45, 724 on a calculator?

You can find the GCD of 220, 130, 45, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.