GCD of 973, 343, 961, 197 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 973, 343, 961, 197 quickly. Get the easiest ways to solve the greatest common divisor of 973, 343, 961, 197 i.e 1 in different methods as follows.
Given Input numbers are 973, 343, 961, 197
In the factoring method, we have to find the divisors of all numbers
Divisors of 973 :
The positive integer divisors of 973 that completely divides 973 are.
1, 7, 139, 973
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 961 :
The positive integer divisors of 961 that completely divides 961 are.
1, 31, 961
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 (973, 343, 961, 197) = 1.
Given numbers are 973, 343, 961, 197
The list of prime factors of all numbers are
Prime factors of 973 are 7 x 139
Prime factors of 343 are 7 x 7 x 7
Prime factors of 961 are 31 x 31
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 973, 343, 961, 197 using LCM Formula
Given numbers are 973, 343, 961, 197
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(973, 343) = 47677
GCD(973, 343) = ( 973 x 343 ) / 47677
= 973 / 343
= 973
Step2:
LCM(7, 961) = 6727
GCD(7, 961) = ( 7 x 961 ) / 6727
= 7 / 961
= 7
Step3:
LCM(1, 197) = 197
GCD(1, 197) = ( 1 x 197 ) / 197
= 1 / 197
= 1
So, Greatest Common Divisor of 973, 343, 961, 197 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 973, 343, 961, 197
Given numbers are 973, 343, 961, 197
The greatest common divisor of numbers 973, 343, 961, 197 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 973, 343, 961, 197 is 1.
FAQs on GCD of 973, 343, 961, 197 Calculator
1. What is the GCD of 973, 343, 961, 197?
GCD of given numbers 973, 343, 961, 197 is 1
2. How to calculate the greatest common divisor of 973, 343, 961, 197?
We can find the highest common divisor of 973, 343, 961, 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 973, 343, 961, 197 i.e 1.
3. How can I use the GCD of 973, 343, 961, 197Calculator?
Out the numbers 973, 343, 961, 197 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.