GCD of 206, 844, 707, 948 Calculator

Given Input numbers are 206, 844, 707, 948

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

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

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 206, 844, 707, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 206, 844, 707, 948 is 1.

Therefore, GCD of numbers 206, 844, 707, 948 is 1

Given Input Data is 206, 844, 707, 948

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

Prime Factorization of 206 is 2 x 103

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 707 is 7 x 101

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(206, 844) = 86932

GCD(206, 844) = ( 206 x 844 ) / 86932

GCD(206, 844) = 173864 / 86932

GCD(206, 844) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 707

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

LCM(2, 707) = 1414

GCD(2, 707) = ( 2 x 707 ) / 1414

GCD(2, 707) = 1414 / 1414

GCD(2, 707) = 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 206, 844, 707, 948 is 1

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1. What is the GCD of 206, 844, 707, 948?

GCD of 206, 844, 707, 948 is 1

2. Where do I get the detailed procedure to find GCD of 206, 844, 707, 948?

You can find a detailed procedure to find GCD of 206, 844, 707, 948 on our page.

3. How to find GCD of 206, 844, 707, 948 on a calculator?

You can find the GCD of 206, 844, 707, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.