GCD of 764, 900, 322 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 764, 900, 322 quickly. Get the easiest ways to solve the greatest common divisor of 764, 900, 322 i.e 2 in different methods as follows.
Given Input numbers are 764, 900, 322
In the factoring method, we have to find the divisors of all numbers
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
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 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
GCD of numbers is the greatest common divisor
So, the GCD (764, 900, 322) = 2.
Given numbers are 764, 900, 322
The list of prime factors of all numbers are
Prime factors of 764 are 2 x 2 x 191
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 322 are 2 x 7 x 23
The highest common occurrence is 21
Therefore, GCD of 764, 900, 322 is 2.
Steps to Calculate GCD of 764, 900, 322 using LCM Formula
Given numbers are 764, 900, 322
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(764, 900) = 171900
GCD(764, 900) = ( 764 x 900 ) / 171900
= 764 / 900
= 764
Step2:
LCM(4, 322) = 644
GCD(4, 322) = ( 4 x 322 ) / 644
= 4 / 322
= 4
So, Greatest Common Divisor of 764, 900, 322 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 764, 900, 322
Given numbers are 764, 900, 322
The greatest common divisor of numbers 764, 900, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 900, 322 is 2.
FAQs on GCD of 764, 900, 322 Calculator
1. What is the GCD of 764, 900, 322?
GCD of given numbers 764, 900, 322 is 2
2. How to calculate the greatest common divisor of 764, 900, 322?
We can find the highest common divisor of 764, 900, 322 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 764, 900, 322 i.e 2.
3. How can I use the GCD of 764, 900, 322Calculator?
Out the numbers 764, 900, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.