GCD of 741, 204, 375 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 741, 204, 375 quickly. Get the easiest ways to solve the greatest common divisor of 741, 204, 375 i.e 3 in different methods as follows.
Given Input numbers are 741, 204, 375
In the factoring method, we have to find the divisors of all numbers
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
GCD of numbers is the greatest common divisor
So, the GCD (741, 204, 375) = 3.
Given numbers are 741, 204, 375
The list of prime factors of all numbers are
Prime factors of 741 are 3 x 13 x 19
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 375 are 3 x 5 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 741, 204, 375 is 3.
Steps to Calculate GCD of 741, 204, 375 using LCM Formula
Given numbers are 741, 204, 375
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(741, 204) = 50388
GCD(741, 204) = ( 741 x 204 ) / 50388
= 741 / 204
= 741
Step2:
LCM(3, 375) = 375
GCD(3, 375) = ( 3 x 375 ) / 375
= 3 / 375
= 3
So, Greatest Common Divisor of 741, 204, 375 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 741, 204, 375
Given numbers are 741, 204, 375
The greatest common divisor of numbers 741, 204, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 741, 204, 375 is 3.
FAQs on GCD of 741, 204, 375 Calculator
1. What is the GCD of 741, 204, 375?
GCD of given numbers 741, 204, 375 is 3
2. How to calculate the greatest common divisor of 741, 204, 375?
We can find the highest common divisor of 741, 204, 375 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 741, 204, 375 i.e 3.
3. How can I use the GCD of 741, 204, 375Calculator?
Out the numbers 741, 204, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.