GCD of 734, 164, 275 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 734, 164, 275 quickly. Get the easiest ways to solve the greatest common divisor of 734, 164, 275 i.e 1 in different methods as follows.
Given Input numbers are 734, 164, 275
In the factoring method, we have to find the divisors of all numbers
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 275 :
The positive integer divisors of 275 that completely divides 275 are.
1, 5, 11, 25, 55, 275
GCD of numbers is the greatest common divisor
So, the GCD (734, 164, 275) = 1.
Given numbers are 734, 164, 275
The list of prime factors of all numbers are
Prime factors of 734 are 2 x 367
Prime factors of 164 are 2 x 2 x 41
Prime factors of 275 are 5 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 734, 164, 275 using LCM Formula
Given numbers are 734, 164, 275
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(734, 164) = 60188
GCD(734, 164) = ( 734 x 164 ) / 60188
= 734 / 164
= 734
Step2:
LCM(2, 275) = 550
GCD(2, 275) = ( 2 x 275 ) / 550
= 2 / 275
= 2
So, Greatest Common Divisor of 734, 164, 275 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 734, 164, 275
Given numbers are 734, 164, 275
The greatest common divisor of numbers 734, 164, 275 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 164, 275 is 1.
FAQs on GCD of 734, 164, 275 Calculator
1. What is the GCD of 734, 164, 275?
GCD of given numbers 734, 164, 275 is 1
2. How to calculate the greatest common divisor of 734, 164, 275?
We can find the highest common divisor of 734, 164, 275 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 734, 164, 275 i.e 1.
3. How can I use the GCD of 734, 164, 275Calculator?
Out the numbers 734, 164, 275 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.