GCD of 147, 462, 399 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 147, 462, 399 quickly. Get the easiest ways to solve the greatest common divisor of 147, 462, 399 i.e 21 in different methods as follows.
Given Input numbers are 147, 462, 399
In the factoring method, we have to find the divisors of all numbers
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
GCD of numbers is the greatest common divisor
So, the GCD (147, 462, 399) = 21.
Given numbers are 147, 462, 399
The list of prime factors of all numbers are
Prime factors of 147 are 3 x 7 x 7
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 399 are 3 x 7 x 19
The highest common occurrence is 31 x 71
Therefore, GCD of 147, 462, 399 is 21.
Steps to Calculate GCD of 147, 462, 399 using LCM Formula
Given numbers are 147, 462, 399
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(147, 462) = 3234
GCD(147, 462) = ( 147 x 462 ) / 3234
= 147 / 462
= 147
Step2:
LCM(21, 399) = 399
GCD(21, 399) = ( 21 x 399 ) / 399
= 21 / 399
= 21
So, Greatest Common Divisor of 147, 462, 399 is 21
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 147, 462, 399
Given numbers are 147, 462, 399
The greatest common divisor of numbers 147, 462, 399 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 462, 399 is 21.
FAQs on GCD of 147, 462, 399 Calculator
1. What is the GCD of 147, 462, 399?
GCD of given numbers 147, 462, 399 is 21
2. How to calculate the greatest common divisor of 147, 462, 399?
We can find the highest common divisor of 147, 462, 399 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 147, 462, 399 i.e 21.
3. How can I use the GCD of 147, 462, 399Calculator?
Out the numbers 147, 462, 399 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.