GCD of 51, 42, 84, 99 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 51, 42, 84, 99 quickly. Get the easiest ways to solve the greatest common divisor of 51, 42, 84, 99 i.e 3 in different methods as follows.
Given Input numbers are 51, 42, 84, 99
In the factoring method, we have to find the divisors of all numbers
Divisors of 51 :
The positive integer divisors of 51 that completely divides 51 are.
1, 3, 17, 51
Divisors of 42 :
The positive integer divisors of 42 that completely divides 42 are.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 84 :
The positive integer divisors of 84 that completely divides 84 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 99 :
The positive integer divisors of 99 that completely divides 99 are.
1, 3, 9, 11, 33, 99
GCD of numbers is the greatest common divisor
So, the GCD (51, 42, 84, 99) = 3.
Given numbers are 51, 42, 84, 99
The list of prime factors of all numbers are
Prime factors of 51 are 3 x 17
Prime factors of 42 are 2 x 3 x 7
Prime factors of 84 are 2 x 2 x 3 x 7
Prime factors of 99 are 3 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 51, 42, 84, 99 is 3.
Steps to Calculate GCD of 51, 42, 84, 99 using LCM Formula
Given numbers are 51, 42, 84, 99
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(51, 42) = 714
GCD(51, 42) = ( 51 x 42 ) / 714
= 51 / 42
= 51
Step2:
LCM(3, 84) = 84
GCD(3, 84) = ( 3 x 84 ) / 84
= 3 / 84
= 3
Step3:
LCM(3, 99) = 99
GCD(3, 99) = ( 3 x 99 ) / 99
= 3 / 99
= 3
So, Greatest Common Divisor of 51, 42, 84, 99 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 51, 42, 84, 99
Given numbers are 51, 42, 84, 99
The greatest common divisor of numbers 51, 42, 84, 99 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 51, 42, 84, 99 is 3.
FAQs on GCD of 51, 42, 84, 99 Calculator
1. What is the GCD of 51, 42, 84, 99?
GCD of given numbers 51, 42, 84, 99 is 3
2. How to calculate the greatest common divisor of 51, 42, 84, 99?
We can find the highest common divisor of 51, 42, 84, 99 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 51, 42, 84, 99 i.e 3.
3. How can I use the GCD of 51, 42, 84, 99Calculator?
Out the numbers 51, 42, 84, 99 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.