GCD of 897, 810, 60 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 897, 810, 60 quickly. Get the easiest ways to solve the greatest common divisor of 897, 810, 60 i.e 3 in different methods as follows.
Given Input numbers are 897, 810, 60
In the factoring method, we have to find the divisors of all numbers
Divisors of 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 810 :
The positive integer divisors of 810 that completely divides 810 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 60 :
The positive integer divisors of 60 that completely divides 60 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
GCD of numbers is the greatest common divisor
So, the GCD (897, 810, 60) = 3.
Given numbers are 897, 810, 60
The list of prime factors of all numbers are
Prime factors of 897 are 3 x 13 x 23
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
Prime factors of 60 are 2 x 2 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 897, 810, 60 is 3.
Steps to Calculate GCD of 897, 810, 60 using LCM Formula
Given numbers are 897, 810, 60
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(897, 810) = 242190
GCD(897, 810) = ( 897 x 810 ) / 242190
= 897 / 810
= 897
Step2:
LCM(3, 60) = 60
GCD(3, 60) = ( 3 x 60 ) / 60
= 3 / 60
= 3
So, Greatest Common Divisor of 897, 810, 60 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 897, 810, 60
Given numbers are 897, 810, 60
The greatest common divisor of numbers 897, 810, 60 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 810, 60 is 3.
FAQs on GCD of 897, 810, 60 Calculator
1. What is the GCD of 897, 810, 60?
GCD of given numbers 897, 810, 60 is 3
2. How to calculate the greatest common divisor of 897, 810, 60?
We can find the highest common divisor of 897, 810, 60 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 897, 810, 60 i.e 3.
3. How can I use the GCD of 897, 810, 60Calculator?
Out the numbers 897, 810, 60 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.