GCD of 846, 624, 48 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 846, 624, 48 quickly. Get the easiest ways to solve the greatest common divisor of 846, 624, 48 i.e 6 in different methods as follows.
Given Input numbers are 846, 624, 48
In the factoring method, we have to find the divisors of all numbers
Divisors of 846 :
The positive integer divisors of 846 that completely divides 846 are.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
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
Divisors of 48 :
The positive integer divisors of 48 that completely divides 48 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
GCD of numbers is the greatest common divisor
So, the GCD (846, 624, 48) = 6.
Given numbers are 846, 624, 48
The list of prime factors of all numbers are
Prime factors of 846 are 2 x 3 x 3 x 47
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 48 are 2 x 2 x 2 x 2 x 3
The highest common occurrence is 21 x 31
Therefore, GCD of 846, 624, 48 is 6.
Steps to Calculate GCD of 846, 624, 48 using LCM Formula
Given numbers are 846, 624, 48
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(846, 624) = 87984
GCD(846, 624) = ( 846 x 624 ) / 87984
= 846 / 624
= 846
Step2:
LCM(6, 48) = 48
GCD(6, 48) = ( 6 x 48 ) / 48
= 6 / 48
= 6
So, Greatest Common Divisor of 846, 624, 48 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 846, 624, 48
Given numbers are 846, 624, 48
The greatest common divisor of numbers 846, 624, 48 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 846, 624, 48 is 6.
FAQs on GCD of 846, 624, 48 Calculator
1. What is the GCD of 846, 624, 48?
GCD of given numbers 846, 624, 48 is 6
2. How to calculate the greatest common divisor of 846, 624, 48?
We can find the highest common divisor of 846, 624, 48 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 846, 624, 48 i.e 6.
3. How can I use the GCD of 846, 624, 48Calculator?
Out the numbers 846, 624, 48 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.