GCD of 900, 375, 765 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 900, 375, 765 quickly. Get the easiest ways to solve the greatest common divisor of 900, 375, 765 i.e 15 in different methods as follows.
Given Input numbers are 900, 375, 765
In the factoring method, we have to find the divisors of all numbers
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
GCD of numbers is the greatest common divisor
So, the GCD (900, 375, 765) = 15.
Given numbers are 900, 375, 765
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 765 are 3 x 3 x 5 x 17
The highest common occurrence is 31 x 51
Therefore, GCD of 900, 375, 765 is 15.
Steps to Calculate GCD of 900, 375, 765 using LCM Formula
Given numbers are 900, 375, 765
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 375) = 4500
GCD(900, 375) = ( 900 x 375 ) / 4500
= 900 / 375
= 900
Step2:
LCM(75, 765) = 3825
GCD(75, 765) = ( 75 x 765 ) / 3825
= 75 / 765
= 75
So, Greatest Common Divisor of 900, 375, 765 is 15
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 900, 375, 765
Given numbers are 900, 375, 765
The greatest common divisor of numbers 900, 375, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 375, 765 is 15.
FAQs on GCD of 900, 375, 765 Calculator
1. What is the GCD of 900, 375, 765?
GCD of given numbers 900, 375, 765 is 15
2. How to calculate the greatest common divisor of 900, 375, 765?
We can find the highest common divisor of 900, 375, 765 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 900, 375, 765 i.e 15.
3. How can I use the GCD of 900, 375, 765Calculator?
Out the numbers 900, 375, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.