GCD of 493, 107, 677, 197 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 493, 107, 677, 197 quickly. Get the easiest ways to solve the greatest common divisor of 493, 107, 677, 197 i.e 1 in different methods as follows.
Given Input numbers are 493, 107, 677, 197
In the factoring method, we have to find the divisors of all numbers
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
Divisors of 677 :
The positive integer divisors of 677 that completely divides 677 are.
1, 677
Divisors of 197 :
The positive integer divisors of 197 that completely divides 197 are.
1, 197
GCD of numbers is the greatest common divisor
So, the GCD (493, 107, 677, 197) = 1.
Given numbers are 493, 107, 677, 197
The list of prime factors of all numbers are
Prime factors of 493 are 17 x 29
Prime factors of 107 are 107
Prime factors of 677 are 677
Prime factors of 197 are 197
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 493, 107, 677, 197 using LCM Formula
Given numbers are 493, 107, 677, 197
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(493, 107) = 52751
GCD(493, 107) = ( 493 x 107 ) / 52751
= 493 / 107
= 493
Step2:
LCM(1, 677) = 677
GCD(1, 677) = ( 1 x 677 ) / 677
= 1 / 677
= 1
Step3:
LCM(1, 197) = 197
GCD(1, 197) = ( 1 x 197 ) / 197
= 1 / 197
= 1
So, Greatest Common Divisor of 493, 107, 677, 197 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 493, 107, 677, 197
Given numbers are 493, 107, 677, 197
The greatest common divisor of numbers 493, 107, 677, 197 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 107, 677, 197 is 1.
FAQs on GCD of 493, 107, 677, 197 Calculator
1. What is the GCD of 493, 107, 677, 197?
GCD of given numbers 493, 107, 677, 197 is 1
2. How to calculate the greatest common divisor of 493, 107, 677, 197?
We can find the highest common divisor of 493, 107, 677, 197 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 493, 107, 677, 197 i.e 1.
3. How can I use the GCD of 493, 107, 677, 197Calculator?
Out the numbers 493, 107, 677, 197 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.