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, 901, 684, 514 i.e. 1 largest integer that divides all the numbers equally.
GCD of 981, 901, 684, 514 is 1
GCD(981, 901, 684, 514) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 981, 901, 684, 514 is 1
GCD(981, 901, 684, 514) = 1
Given Input numbers are 981, 901, 684, 514
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 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Greatest Common Divisior
We found the divisors of 981, 901, 684, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 901, 684, 514 is 1.
Therefore, GCD of numbers 981, 901, 684, 514 is 1
Given Input Data is 981, 901, 684, 514
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 901 is 17 x 53
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 514 is 2 x 257
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, 901) = 883881
GCD(981, 901) = ( 981 x 901 ) / 883881
GCD(981, 901) = 883881 / 883881
GCD(981, 901) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 684
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
GCD(1, 684) = 684 / 684
GCD(1, 684) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 514
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 514) = 514
GCD(1, 514) = ( 1 x 514 ) / 514
GCD(1, 514) = 514 / 514
GCD(1, 514) = 1
GCD of 981, 901, 684, 514 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 981, 901, 684, 514?
GCD of 981, 901, 684, 514 is 1
2. Where do I get the detailed procedure to find GCD of 981, 901, 684, 514?
You can find a detailed procedure to find GCD of 981, 901, 684, 514 on our page.
3. How to find GCD of 981, 901, 684, 514 on a calculator?
You can find the GCD of 981, 901, 684, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.