GCD of 916, 574, 429, 220 Calculator

Given Input numbers are 916, 574, 429, 220

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

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

Greatest Common Divisior

We found the divisors of 916, 574, 429, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 574, 429, 220 is 1.

Therefore, GCD of numbers 916, 574, 429, 220 is 1

Given Input Data is 916, 574, 429, 220

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 429 is 3 x 11 x 13

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

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(916, 574) = 262892

GCD(916, 574) = ( 916 x 574 ) / 262892

GCD(916, 574) = 525784 / 262892

GCD(916, 574) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 429

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

LCM(2, 429) = 858

GCD(2, 429) = ( 2 x 429 ) / 858

GCD(2, 429) = 858 / 858

GCD(2, 429) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

GCD of 916, 574, 429, 220 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 357, 611, 700
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1. What is the GCD of 916, 574, 429, 220?

GCD of 916, 574, 429, 220 is 1

2. Where do I get the detailed procedure to find GCD of 916, 574, 429, 220?

You can find a detailed procedure to find GCD of 916, 574, 429, 220 on our page.

3. How to find GCD of 916, 574, 429, 220 on a calculator?

You can find the GCD of 916, 574, 429, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.