GCD of 853, 974, 44, 218 Calculator

Given Input numbers are 853, 974, 44, 218

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

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 853, 974, 44, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 974, 44, 218 is 1.

Therefore, GCD of numbers 853, 974, 44, 218 is 1

Given Input Data is 853, 974, 44, 218

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

Prime Factorization of 853 is 853

Prime Factorization of 974 is 2 x 487

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 218 is 2 x 109

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(853, 974) = 830822

GCD(853, 974) = ( 853 x 974 ) / 830822

GCD(853, 974) = 830822 / 830822

GCD(853, 974) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 44

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

LCM(1, 44) = 44

GCD(1, 44) = ( 1 x 44 ) / 44

GCD(1, 44) = 44 / 44

GCD(1, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 853, 974, 44, 218 is 1

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• GCD of 429, 326, 13, 223
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1. What is the GCD of 853, 974, 44, 218?

GCD of 853, 974, 44, 218 is 1

2. Where do I get the detailed procedure to find GCD of 853, 974, 44, 218?

You can find a detailed procedure to find GCD of 853, 974, 44, 218 on our page.

3. How to find GCD of 853, 974, 44, 218 on a calculator?

You can find the GCD of 853, 974, 44, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.