GCD of 847, 123, 431, 101 Calculator

Given Input numbers are 847, 123, 431, 101

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

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 847, 123, 431, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 847, 123, 431, 101 is 1.

Therefore, GCD of numbers 847, 123, 431, 101 is 1

Given Input Data is 847, 123, 431, 101

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

Prime Factorization of 847 is 7 x 11 x 11

Prime Factorization of 123 is 3 x 41

Prime Factorization of 431 is 431

Prime Factorization of 101 is 101

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(847, 123) = 104181

GCD(847, 123) = ( 847 x 123 ) / 104181

GCD(847, 123) = 104181 / 104181

GCD(847, 123) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 847, 123, 431, 101 is 1

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1. What is the GCD of 847, 123, 431, 101?

GCD of 847, 123, 431, 101 is 1

2. Where do I get the detailed procedure to find GCD of 847, 123, 431, 101?

You can find a detailed procedure to find GCD of 847, 123, 431, 101 on our page.

3. How to find GCD of 847, 123, 431, 101 on a calculator?

You can find the GCD of 847, 123, 431, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.