GCD of 423, 525, 75 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 423, 525, 75 quickly. Get the easiest ways to solve the greatest common divisor of 423, 525, 75 i.e 3 in different methods as follows.
Given Input numbers are 423, 525, 75
In the factoring method, we have to find the divisors of all numbers
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 525 :
The positive integer divisors of 525 that completely divides 525 are.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 75 :
The positive integer divisors of 75 that completely divides 75 are.
1, 3, 5, 15, 25, 75
GCD of numbers is the greatest common divisor
So, the GCD (423, 525, 75) = 3.
Given numbers are 423, 525, 75
The list of prime factors of all numbers are
Prime factors of 423 are 3 x 3 x 47
Prime factors of 525 are 3 x 5 x 5 x 7
Prime factors of 75 are 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 423, 525, 75 is 3.
Steps to Calculate GCD of 423, 525, 75 using LCM Formula
Given numbers are 423, 525, 75
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(423, 525) = 74025
GCD(423, 525) = ( 423 x 525 ) / 74025
= 423 / 525
= 423
Step2:
LCM(3, 75) = 75
GCD(3, 75) = ( 3 x 75 ) / 75
= 3 / 75
= 3
So, Greatest Common Divisor of 423, 525, 75 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 423, 525, 75
Given numbers are 423, 525, 75
The greatest common divisor of numbers 423, 525, 75 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 423, 525, 75 is 3.
FAQs on GCD of 423, 525, 75 Calculator
1. What is the GCD of 423, 525, 75?
GCD of given numbers 423, 525, 75 is 3
2. How to calculate the greatest common divisor of 423, 525, 75?
We can find the highest common divisor of 423, 525, 75 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 423, 525, 75 i.e 3.
3. How can I use the GCD of 423, 525, 75Calculator?
Out the numbers 423, 525, 75 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.