GCD of 212, 878, 947, 948 Calculator

Given Input numbers are 212, 878, 947, 948

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

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

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 212, 878, 947, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 878, 947, 948 is 1.

Therefore, GCD of numbers 212, 878, 947, 948 is 1

Given Input Data is 212, 878, 947, 948

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 878 is 2 x 439

Prime Factorization of 947 is 947

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(212, 878) = 93068

GCD(212, 878) = ( 212 x 878 ) / 93068

GCD(212, 878) = 186136 / 93068

GCD(212, 878) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 947

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

LCM(2, 947) = 1894

GCD(2, 947) = ( 2 x 947 ) / 1894

GCD(2, 947) = 1894 / 1894

GCD(2, 947) = 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 212, 878, 947, 948 is 1

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1. What is the GCD of 212, 878, 947, 948?

GCD of 212, 878, 947, 948 is 1

2. Where do I get the detailed procedure to find GCD of 212, 878, 947, 948?

You can find a detailed procedure to find GCD of 212, 878, 947, 948 on our page.

3. How to find GCD of 212, 878, 947, 948 on a calculator?

You can find the GCD of 212, 878, 947, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.