GCD of 399, 420, 252 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 399, 420, 252 quickly. Get the easiest ways to solve the greatest common divisor of 399, 420, 252 i.e 21 in different methods as follows.
Given Input numbers are 399, 420, 252
In the factoring method, we have to find the divisors of all numbers
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (399, 420, 252) = 21.
Given numbers are 399, 420, 252
The list of prime factors of all numbers are
Prime factors of 399 are 3 x 7 x 19
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The highest common occurrence is 31 x 71
Therefore, GCD of 399, 420, 252 is 21.
Steps to Calculate GCD of 399, 420, 252 using LCM Formula
Given numbers are 399, 420, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(399, 420) = 7980
GCD(399, 420) = ( 399 x 420 ) / 7980
= 399 / 420
= 399
Step2:
LCM(21, 252) = 252
GCD(21, 252) = ( 21 x 252 ) / 252
= 21 / 252
= 21
So, Greatest Common Divisor of 399, 420, 252 is 21
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 399, 420, 252
Given numbers are 399, 420, 252
The greatest common divisor of numbers 399, 420, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 399, 420, 252 is 21.
FAQs on GCD of 399, 420, 252 Calculator
1. What is the GCD of 399, 420, 252?
GCD of given numbers 399, 420, 252 is 21
2. How to calculate the greatest common divisor of 399, 420, 252?
We can find the highest common divisor of 399, 420, 252 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 399, 420, 252 i.e 21.
3. How can I use the GCD of 399, 420, 252Calculator?
Out the numbers 399, 420, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.