Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 981, 588, 56, 168 i.e. 1 largest integer that divides all the numbers equally.
GCD of 981, 588, 56, 168 is 1
GCD(981, 588, 56, 168) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 981, 588, 56, 168 is 1
GCD(981, 588, 56, 168) = 1
Given Input numbers are 981, 588, 56, 168
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Greatest Common Divisior
We found the divisors of 981, 588, 56, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 588, 56, 168 is 1.
Therefore, GCD of numbers 981, 588, 56, 168 is 1
Given Input Data is 981, 588, 56, 168
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 981 is 3 x 3 x 109
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
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(981, 588) = 192276
GCD(981, 588) = ( 981 x 588 ) / 192276
GCD(981, 588) = 576828 / 192276
GCD(981, 588) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 56) = 168
GCD(3, 56) = ( 3 x 56 ) / 168
GCD(3, 56) = 168 / 168
GCD(3, 56) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 168) = 168
GCD(1, 168) = ( 1 x 168 ) / 168
GCD(1, 168) = 168 / 168
GCD(1, 168) = 1
GCD of 981, 588, 56, 168 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 981, 588, 56, 168?
GCD of 981, 588, 56, 168 is 1
2. Where do I get the detailed procedure to find GCD of 981, 588, 56, 168?
You can find a detailed procedure to find GCD of 981, 588, 56, 168 on our page.
3. How to find GCD of 981, 588, 56, 168 on a calculator?
You can find the GCD of 981, 588, 56, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.