GCD of 847, 725, 993, 114 Calculator

Given Input numbers are 847, 725, 993, 114

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 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 847, 725, 993, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 847, 725, 993, 114 is 1.

Therefore, GCD of numbers 847, 725, 993, 114 is 1

Given Input Data is 847, 725, 993, 114

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 725 is 5 x 5 x 29

Prime Factorization of 993 is 3 x 331

Prime Factorization of 114 is 2 x 3 x 19

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, 725) = 614075

GCD(847, 725) = ( 847 x 725 ) / 614075

GCD(847, 725) = 614075 / 614075

GCD(847, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 847, 725, 993, 114 is 1

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1. What is the GCD of 847, 725, 993, 114?

GCD of 847, 725, 993, 114 is 1

2. Where do I get the detailed procedure to find GCD of 847, 725, 993, 114?

You can find a detailed procedure to find GCD of 847, 725, 993, 114 on our page.

3. How to find GCD of 847, 725, 993, 114 on a calculator?

You can find the GCD of 847, 725, 993, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.