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 53, 851, 714, 998 i.e. 1 largest integer that divides all the numbers equally.
GCD of 53, 851, 714, 998 is 1
GCD(53, 851, 714, 998) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 53, 851, 714, 998 is 1
GCD(53, 851, 714, 998) = 1
Given Input numbers are 53, 851, 714, 998
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Greatest Common Divisior
We found the divisors of 53, 851, 714, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 851, 714, 998 is 1.
Therefore, GCD of numbers 53, 851, 714, 998 is 1
Given Input Data is 53, 851, 714, 998
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 53 is 53
Prime Factorization of 851 is 23 x 37
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 998 is 2 x 499
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(53, 851) = 45103
GCD(53, 851) = ( 53 x 851 ) / 45103
GCD(53, 851) = 45103 / 45103
GCD(53, 851) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 714
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 714) = 714
GCD(1, 714) = ( 1 x 714 ) / 714
GCD(1, 714) = 714 / 714
GCD(1, 714) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 998
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
GCD(1, 998) = 998 / 998
GCD(1, 998) = 1
GCD of 53, 851, 714, 998 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 53, 851, 714, 998?
GCD of 53, 851, 714, 998 is 1
2. Where do I get the detailed procedure to find GCD of 53, 851, 714, 998?
You can find a detailed procedure to find GCD of 53, 851, 714, 998 on our page.
3. How to find GCD of 53, 851, 714, 998 on a calculator?
You can find the GCD of 53, 851, 714, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.