GCD of 489, 972, 762 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 489, 972, 762 quickly. Get the easiest ways to solve the greatest common divisor of 489, 972, 762 i.e 3 in different methods as follows.
Given Input numbers are 489, 972, 762
In the factoring method, we have to find the divisors of all numbers
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
GCD of numbers is the greatest common divisor
So, the GCD (489, 972, 762) = 3.
Given numbers are 489, 972, 762
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 762 are 2 x 3 x 127
The highest common occurrence is 31
Therefore, GCD of 489, 972, 762 is 3.
Steps to Calculate GCD of 489, 972, 762 using LCM Formula
Given numbers are 489, 972, 762
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 972) = 158436
GCD(489, 972) = ( 489 x 972 ) / 158436
= 489 / 972
= 489
Step2:
LCM(3, 762) = 762
GCD(3, 762) = ( 3 x 762 ) / 762
= 3 / 762
= 3
So, Greatest Common Divisor of 489, 972, 762 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 489, 972, 762
Given numbers are 489, 972, 762
The greatest common divisor of numbers 489, 972, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 972, 762 is 3.
FAQs on GCD of 489, 972, 762 Calculator
1. What is the GCD of 489, 972, 762?
GCD of given numbers 489, 972, 762 is 3
2. How to calculate the greatest common divisor of 489, 972, 762?
We can find the highest common divisor of 489, 972, 762 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 489, 972, 762 i.e 3.
3. How can I use the GCD of 489, 972, 762Calculator?
Out the numbers 489, 972, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.