GCD of 885, 645, 300 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 885, 645, 300 quickly. Get the easiest ways to solve the greatest common divisor of 885, 645, 300 i.e 15 in different methods as follows.
Given Input numbers are 885, 645, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 885 :
The positive integer divisors of 885 that completely divides 885 are.
1, 3, 5, 15, 59, 177, 295, 885
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (885, 645, 300) = 15.
Given numbers are 885, 645, 300
The list of prime factors of all numbers are
Prime factors of 885 are 3 x 5 x 59
Prime factors of 645 are 3 x 5 x 43
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The highest common occurrence is 31 x 51
Therefore, GCD of 885, 645, 300 is 15.
Steps to Calculate GCD of 885, 645, 300 using LCM Formula
Given numbers are 885, 645, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(885, 645) = 38055
GCD(885, 645) = ( 885 x 645 ) / 38055
= 885 / 645
= 885
Step2:
LCM(15, 300) = 300
GCD(15, 300) = ( 15 x 300 ) / 300
= 15 / 300
= 15
So, Greatest Common Divisor of 885, 645, 300 is 15
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 885, 645, 300
Given numbers are 885, 645, 300
The greatest common divisor of numbers 885, 645, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 885, 645, 300 is 15.
FAQs on GCD of 885, 645, 300 Calculator
1. What is the GCD of 885, 645, 300?
GCD of given numbers 885, 645, 300 is 15
2. How to calculate the greatest common divisor of 885, 645, 300?
We can find the highest common divisor of 885, 645, 300 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 885, 645, 300 i.e 15.
3. How can I use the GCD of 885, 645, 300Calculator?
Out the numbers 885, 645, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.