GCD of 724, 174, 675 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 724, 174, 675 quickly. Get the easiest ways to solve the greatest common divisor of 724, 174, 675 i.e 1 in different methods as follows.
Given Input numbers are 724, 174, 675
In the factoring method, we have to find the divisors of all numbers
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
GCD of numbers is the greatest common divisor
So, the GCD (724, 174, 675) = 1.
Given numbers are 724, 174, 675
The list of prime factors of all numbers are
Prime factors of 724 are 2 x 2 x 181
Prime factors of 174 are 2 x 3 x 29
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 724, 174, 675 using LCM Formula
Given numbers are 724, 174, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(724, 174) = 62988
GCD(724, 174) = ( 724 x 174 ) / 62988
= 724 / 174
= 724
Step2:
LCM(2, 675) = 1350
GCD(2, 675) = ( 2 x 675 ) / 1350
= 2 / 675
= 2
So, Greatest Common Divisor of 724, 174, 675 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 724, 174, 675
Given numbers are 724, 174, 675
The greatest common divisor of numbers 724, 174, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 174, 675 is 1.
FAQs on GCD of 724, 174, 675 Calculator
1. What is the GCD of 724, 174, 675?
GCD of given numbers 724, 174, 675 is 1
2. How to calculate the greatest common divisor of 724, 174, 675?
We can find the highest common divisor of 724, 174, 675 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 724, 174, 675 i.e 1.
3. How can I use the GCD of 724, 174, 675Calculator?
Out the numbers 724, 174, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.