GCD of 697, 340, 83 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 697, 340, 83 quickly. Get the easiest ways to solve the greatest common divisor of 697, 340, 83 i.e 1 in different methods as follows.
Given Input numbers are 697, 340, 83
In the factoring method, we have to find the divisors of all numbers
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 83 :
The positive integer divisors of 83 that completely divides 83 are.
1, 83
GCD of numbers is the greatest common divisor
So, the GCD (697, 340, 83) = 1.
Given numbers are 697, 340, 83
The list of prime factors of all numbers are
Prime factors of 697 are 17 x 41
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 83 are 83
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 697, 340, 83 using LCM Formula
Given numbers are 697, 340, 83
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(697, 340) = 13940
GCD(697, 340) = ( 697 x 340 ) / 13940
= 697 / 340
= 697
Step2:
LCM(17, 83) = 1411
GCD(17, 83) = ( 17 x 83 ) / 1411
= 17 / 83
= 17
So, Greatest Common Divisor of 697, 340, 83 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 697, 340, 83
Given numbers are 697, 340, 83
The greatest common divisor of numbers 697, 340, 83 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 697, 340, 83 is 1.
FAQs on GCD of 697, 340, 83 Calculator
1. What is the GCD of 697, 340, 83?
GCD of given numbers 697, 340, 83 is 1
2. How to calculate the greatest common divisor of 697, 340, 83?
We can find the highest common divisor of 697, 340, 83 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 697, 340, 83 i.e 1.
3. How can I use the GCD of 697, 340, 83Calculator?
Out the numbers 697, 340, 83 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.