GCD of 900, 120, 102 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 900, 120, 102 quickly. Get the easiest ways to solve the greatest common divisor of 900, 120, 102 i.e 6 in different methods as follows.
Given Input numbers are 900, 120, 102
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 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
GCD of numbers is the greatest common divisor
So, the GCD (900, 120, 102) = 6.
Given numbers are 900, 120, 102
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 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 102 are 2 x 3 x 17
The highest common occurrence is 21 x 31
Therefore, GCD of 900, 120, 102 is 6.
Steps to Calculate GCD of 900, 120, 102 using LCM Formula
Given numbers are 900, 120, 102
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 120) = 1800
GCD(900, 120) = ( 900 x 120 ) / 1800
= 900 / 120
= 900
Step2:
LCM(60, 102) = 1020
GCD(60, 102) = ( 60 x 102 ) / 1020
= 60 / 102
= 60
So, Greatest Common Divisor of 900, 120, 102 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 900, 120, 102
Given numbers are 900, 120, 102
The greatest common divisor of numbers 900, 120, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 120, 102 is 6.
FAQs on GCD of 900, 120, 102 Calculator
1. What is the GCD of 900, 120, 102?
GCD of given numbers 900, 120, 102 is 6
2. How to calculate the greatest common divisor of 900, 120, 102?
We can find the highest common divisor of 900, 120, 102 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, 120, 102 i.e 6.
3. How can I use the GCD of 900, 120, 102Calculator?
Out the numbers 900, 120, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.