GCD of 218, 694, 897, 948 Calculator

Given Input numbers are 218, 694, 897, 948

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

Divisors of 218

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

1, 2, 109, 218

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 218, 694, 897, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 694, 897, 948 is 1.

Therefore, GCD of numbers 218, 694, 897, 948 is 1

Given Input Data is 218, 694, 897, 948

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 694 is 2 x 347

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 948 is 2 x 2 x 3 x 79

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(218, 694) = 75646

GCD(218, 694) = ( 218 x 694 ) / 75646

GCD(218, 694) = 151292 / 75646

GCD(218, 694) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 897

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

LCM(2, 897) = 1794

GCD(2, 897) = ( 2 x 897 ) / 1794

GCD(2, 897) = 1794 / 1794

GCD(2, 897) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

GCD of 218, 694, 897, 948 is 1

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1. What is the GCD of 218, 694, 897, 948?

GCD of 218, 694, 897, 948 is 1

2. Where do I get the detailed procedure to find GCD of 218, 694, 897, 948?

You can find a detailed procedure to find GCD of 218, 694, 897, 948 on our page.

3. How to find GCD of 218, 694, 897, 948 on a calculator?

You can find the GCD of 218, 694, 897, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.