GCD of 46, 34, 48, 66 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 46, 34, 48, 66 quickly. Get the easiest ways to solve the greatest common divisor of 46, 34, 48, 66 i.e 2 in different methods as follows.
Given Input numbers are 46, 34, 48, 66
In the factoring method, we have to find the divisors of all numbers
Divisors of 46 :
The positive integer divisors of 46 that completely divides 46 are.
1, 2, 23, 46
Divisors of 34 :
The positive integer divisors of 34 that completely divides 34 are.
1, 2, 17, 34
Divisors of 48 :
The positive integer divisors of 48 that completely divides 48 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 66 :
The positive integer divisors of 66 that completely divides 66 are.
1, 2, 3, 6, 11, 22, 33, 66
GCD of numbers is the greatest common divisor
So, the GCD (46, 34, 48, 66) = 2.
Given numbers are 46, 34, 48, 66
The list of prime factors of all numbers are
Prime factors of 46 are 2 x 23
Prime factors of 34 are 2 x 17
Prime factors of 48 are 2 x 2 x 2 x 2 x 3
Prime factors of 66 are 2 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 46, 34, 48, 66 is 2.
Steps to Calculate GCD of 46, 34, 48, 66 using LCM Formula
Given numbers are 46, 34, 48, 66
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(46, 34) = 782
GCD(46, 34) = ( 46 x 34 ) / 782
= 46 / 34
= 46
Step2:
LCM(2, 48) = 48
GCD(2, 48) = ( 2 x 48 ) / 48
= 2 / 48
= 2
Step3:
LCM(2, 66) = 66
GCD(2, 66) = ( 2 x 66 ) / 66
= 2 / 66
= 2
So, Greatest Common Divisor of 46, 34, 48, 66 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 46, 34, 48, 66
Given numbers are 46, 34, 48, 66
The greatest common divisor of numbers 46, 34, 48, 66 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 46, 34, 48, 66 is 2.
FAQs on GCD of 46, 34, 48, 66 Calculator
1. What is the GCD of 46, 34, 48, 66?
GCD of given numbers 46, 34, 48, 66 is 2
2. How to calculate the greatest common divisor of 46, 34, 48, 66?
We can find the highest common divisor of 46, 34, 48, 66 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 46, 34, 48, 66 i.e 2.
3. How can I use the GCD of 46, 34, 48, 66Calculator?
Out the numbers 46, 34, 48, 66 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.