GCD of 574, 364, 175 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 574, 364, 175 quickly. Get the easiest ways to solve the greatest common divisor of 574, 364, 175 i.e 7 in different methods as follows.
Given Input numbers are 574, 364, 175
In the factoring method, we have to find the divisors of all numbers
Divisors of 574 :
The positive integer divisors of 574 that completely divides 574 are.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
GCD of numbers is the greatest common divisor
So, the GCD (574, 364, 175) = 7.
Given numbers are 574, 364, 175
The list of prime factors of all numbers are
Prime factors of 574 are 2 x 7 x 41
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 175 are 5 x 5 x 7
The highest common occurrence is 71
Therefore, GCD of 574, 364, 175 is 7.
Steps to Calculate GCD of 574, 364, 175 using LCM Formula
Given numbers are 574, 364, 175
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(574, 364) = 14924
GCD(574, 364) = ( 574 x 364 ) / 14924
= 574 / 364
= 574
Step2:
LCM(14, 175) = 350
GCD(14, 175) = ( 14 x 175 ) / 350
= 14 / 175
= 14
So, Greatest Common Divisor of 574, 364, 175 is 7
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 574, 364, 175
Given numbers are 574, 364, 175
The greatest common divisor of numbers 574, 364, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 574, 364, 175 is 7.
FAQs on GCD of 574, 364, 175 Calculator
1. What is the GCD of 574, 364, 175?
GCD of given numbers 574, 364, 175 is 7
2. How to calculate the greatest common divisor of 574, 364, 175?
We can find the highest common divisor of 574, 364, 175 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 574, 364, 175 i.e 7.
3. How can I use the GCD of 574, 364, 175Calculator?
Out the numbers 574, 364, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.