GCD of 993, 108, 71, 763 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 993, 108, 71, 763 quickly. Get the easiest ways to solve the greatest common divisor of 993, 108, 71, 763 i.e 1 in different methods as follows.
Given Input numbers are 993, 108, 71, 763
In the factoring method, we have to find the divisors of all numbers
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 71 :
The positive integer divisors of 71 that completely divides 71 are.
1, 71
Divisors of 763 :
The positive integer divisors of 763 that completely divides 763 are.
1, 7, 109, 763
GCD of numbers is the greatest common divisor
So, the GCD (993, 108, 71, 763) = 1.
Given numbers are 993, 108, 71, 763
The list of prime factors of all numbers are
Prime factors of 993 are 3 x 331
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 71 are 71
Prime factors of 763 are 7 x 109
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 993, 108, 71, 763 using LCM Formula
Given numbers are 993, 108, 71, 763
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(993, 108) = 35748
GCD(993, 108) = ( 993 x 108 ) / 35748
= 993 / 108
= 993
Step2:
LCM(3, 71) = 213
GCD(3, 71) = ( 3 x 71 ) / 213
= 3 / 71
= 3
Step3:
LCM(1, 763) = 763
GCD(1, 763) = ( 1 x 763 ) / 763
= 1 / 763
= 1
So, Greatest Common Divisor of 993, 108, 71, 763 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 993, 108, 71, 763
Given numbers are 993, 108, 71, 763
The greatest common divisor of numbers 993, 108, 71, 763 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 108, 71, 763 is 1.
FAQs on GCD of 993, 108, 71, 763 Calculator
1. What is the GCD of 993, 108, 71, 763?
GCD of given numbers 993, 108, 71, 763 is 1
2. How to calculate the greatest common divisor of 993, 108, 71, 763?
We can find the highest common divisor of 993, 108, 71, 763 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 993, 108, 71, 763 i.e 1.
3. How can I use the GCD of 993, 108, 71, 763Calculator?
Out the numbers 993, 108, 71, 763 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.