GCD of 846, 120, 542 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 846, 120, 542 quickly. Get the easiest ways to solve the greatest common divisor of 846, 120, 542 i.e 2 in different methods as follows.
Given Input numbers are 846, 120, 542
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 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
GCD of numbers is the greatest common divisor
So, the GCD (846, 120, 542) = 2.
Given numbers are 846, 120, 542
The list of prime factors of all numbers are
Prime factors of 846 are 2 x 3 x 3 x 47
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 542 are 2 x 271
The highest common occurrence is 21
Therefore, GCD of 846, 120, 542 is 2.
Steps to Calculate GCD of 846, 120, 542 using LCM Formula
Given numbers are 846, 120, 542
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(846, 120) = 16920
GCD(846, 120) = ( 846 x 120 ) / 16920
= 846 / 120
= 846
Step2:
LCM(6, 542) = 1626
GCD(6, 542) = ( 6 x 542 ) / 1626
= 6 / 542
= 6
So, Greatest Common Divisor of 846, 120, 542 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 846, 120, 542
Given numbers are 846, 120, 542
The greatest common divisor of numbers 846, 120, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 846, 120, 542 is 2.
FAQs on GCD of 846, 120, 542 Calculator
1. What is the GCD of 846, 120, 542?
GCD of given numbers 846, 120, 542 is 2
2. How to calculate the greatest common divisor of 846, 120, 542?
We can find the highest common divisor of 846, 120, 542 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, 120, 542 i.e 2.
3. How can I use the GCD of 846, 120, 542Calculator?
Out the numbers 846, 120, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.