GCD of 135, 885, 750 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 135, 885, 750 quickly. Get the easiest ways to solve the greatest common divisor of 135, 885, 750 i.e 15 in different methods as follows.
Given Input numbers are 135, 885, 750
In the factoring method, we have to find the divisors of all numbers
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 885 :
The positive integer divisors of 885 that completely divides 885 are.
1, 3, 5, 15, 59, 177, 295, 885
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
GCD of numbers is the greatest common divisor
So, the GCD (135, 885, 750) = 15.
Given numbers are 135, 885, 750
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 885 are 3 x 5 x 59
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
The highest common occurrence is 31 x 51
Therefore, GCD of 135, 885, 750 is 15.
Steps to Calculate GCD of 135, 885, 750 using LCM Formula
Given numbers are 135, 885, 750
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 885) = 7965
GCD(135, 885) = ( 135 x 885 ) / 7965
= 135 / 885
= 135
Step2:
LCM(15, 750) = 750
GCD(15, 750) = ( 15 x 750 ) / 750
= 15 / 750
= 15
So, Greatest Common Divisor of 135, 885, 750 is 15
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 135, 885, 750
Given numbers are 135, 885, 750
The greatest common divisor of numbers 135, 885, 750 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 885, 750 is 15.
FAQs on GCD of 135, 885, 750 Calculator
1. What is the GCD of 135, 885, 750?
GCD of given numbers 135, 885, 750 is 15
2. How to calculate the greatest common divisor of 135, 885, 750?
We can find the highest common divisor of 135, 885, 750 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 135, 885, 750 i.e 15.
3. How can I use the GCD of 135, 885, 750Calculator?
Out the numbers 135, 885, 750 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.