GCD of 152, 385, 900 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 152, 385, 900 quickly. Get the easiest ways to solve the greatest common divisor of 152, 385, 900 i.e 1 in different methods as follows.
Given Input numbers are 152, 385, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 385 :
The positive integer divisors of 385 that completely divides 385 are.
1, 5, 7, 11, 35, 55, 77, 385
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
GCD of numbers is the greatest common divisor
So, the GCD (152, 385, 900) = 1.
Given numbers are 152, 385, 900
The list of prime factors of all numbers are
Prime factors of 152 are 2 x 2 x 2 x 19
Prime factors of 385 are 5 x 7 x 11
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 152, 385, 900 using LCM Formula
Given numbers are 152, 385, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(152, 385) = 58520
GCD(152, 385) = ( 152 x 385 ) / 58520
= 152 / 385
= 152
Step2:
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
= 1 / 900
= 1
So, Greatest Common Divisor of 152, 385, 900 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 152, 385, 900
Given numbers are 152, 385, 900
The greatest common divisor of numbers 152, 385, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 385, 900 is 1.
FAQs on GCD of 152, 385, 900 Calculator
1. What is the GCD of 152, 385, 900?
GCD of given numbers 152, 385, 900 is 1
2. How to calculate the greatest common divisor of 152, 385, 900?
We can find the highest common divisor of 152, 385, 900 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 152, 385, 900 i.e 1.
3. How can I use the GCD of 152, 385, 900Calculator?
Out the numbers 152, 385, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.