GCD of 852, 822, 126 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 852, 822, 126 quickly. Get the easiest ways to solve the greatest common divisor of 852, 822, 126 i.e 6 in different methods as follows.
Given Input numbers are 852, 822, 126
In the factoring method, we have to find the divisors of all numbers
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCD of numbers is the greatest common divisor
So, the GCD (852, 822, 126) = 6.
Given numbers are 852, 822, 126
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 822 are 2 x 3 x 137
Prime factors of 126 are 2 x 3 x 3 x 7
The highest common occurrence is 21 x 31
Therefore, GCD of 852, 822, 126 is 6.
Steps to Calculate GCD of 852, 822, 126 using LCM Formula
Given numbers are 852, 822, 126
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 822) = 116724
GCD(852, 822) = ( 852 x 822 ) / 116724
= 852 / 822
= 852
Step2:
LCM(6, 126) = 126
GCD(6, 126) = ( 6 x 126 ) / 126
= 6 / 126
= 6
So, Greatest Common Divisor of 852, 822, 126 is 6
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 852, 822, 126
Given numbers are 852, 822, 126
The greatest common divisor of numbers 852, 822, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 822, 126 is 6.
FAQs on GCD of 852, 822, 126 Calculator
1. What is the GCD of 852, 822, 126?
GCD of given numbers 852, 822, 126 is 6
2. How to calculate the greatest common divisor of 852, 822, 126?
We can find the highest common divisor of 852, 822, 126 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 852, 822, 126 i.e 6.
3. How can I use the GCD of 852, 822, 126Calculator?
Out the numbers 852, 822, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.