GCD of 361, 174, 967 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 361, 174, 967 quickly. Get the easiest ways to solve the greatest common divisor of 361, 174, 967 i.e 1 in different methods as follows.
Given Input numbers are 361, 174, 967
In the factoring method, we have to find the divisors of all numbers
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 967 :
The positive integer divisors of 967 that completely divides 967 are.
1, 967
GCD of numbers is the greatest common divisor
So, the GCD (361, 174, 967) = 1.
Given numbers are 361, 174, 967
The list of prime factors of all numbers are
Prime factors of 361 are 19 x 19
Prime factors of 174 are 2 x 3 x 29
Prime factors of 967 are 967
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 361, 174, 967 using LCM Formula
Given numbers are 361, 174, 967
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(361, 174) = 62814
GCD(361, 174) = ( 361 x 174 ) / 62814
= 361 / 174
= 361
Step2:
LCM(1, 967) = 967
GCD(1, 967) = ( 1 x 967 ) / 967
= 1 / 967
= 1
So, Greatest Common Divisor of 361, 174, 967 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 361, 174, 967
Given numbers are 361, 174, 967
The greatest common divisor of numbers 361, 174, 967 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 174, 967 is 1.
FAQs on GCD of 361, 174, 967 Calculator
1. What is the GCD of 361, 174, 967?
GCD of given numbers 361, 174, 967 is 1
2. How to calculate the greatest common divisor of 361, 174, 967?
We can find the highest common divisor of 361, 174, 967 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 361, 174, 967 i.e 1.
3. How can I use the GCD of 361, 174, 967Calculator?
Out the numbers 361, 174, 967 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.