GCD of 342, 420, 624 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 342, 420, 624 quickly. Get the easiest ways to solve the greatest common divisor of 342, 420, 624 i.e 6 in different methods as follows.
Given Input numbers are 342, 420, 624
In the factoring method, we have to find the divisors of all numbers
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
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 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
GCD of numbers is the greatest common divisor
So, the GCD (342, 420, 624) = 6.
Given numbers are 342, 420, 624
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
The highest common occurrence is 21 x 31
Therefore, GCD of 342, 420, 624 is 6.
Steps to Calculate GCD of 342, 420, 624 using LCM Formula
Given numbers are 342, 420, 624
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 420) = 23940
GCD(342, 420) = ( 342 x 420 ) / 23940
= 342 / 420
= 342
Step2:
LCM(6, 624) = 624
GCD(6, 624) = ( 6 x 624 ) / 624
= 6 / 624
= 6
So, Greatest Common Divisor of 342, 420, 624 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 342, 420, 624
Given numbers are 342, 420, 624
The greatest common divisor of numbers 342, 420, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 420, 624 is 6.
FAQs on GCD of 342, 420, 624 Calculator
1. What is the GCD of 342, 420, 624?
GCD of given numbers 342, 420, 624 is 6
2. How to calculate the greatest common divisor of 342, 420, 624?
We can find the highest common divisor of 342, 420, 624 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 342, 420, 624 i.e 6.
3. How can I use the GCD of 342, 420, 624Calculator?
Out the numbers 342, 420, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.