GCD of 22, 68, 36, 78 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 22, 68, 36, 78 quickly. Get the easiest ways to solve the greatest common divisor of 22, 68, 36, 78 i.e 2 in different methods as follows.
Given Input numbers are 22, 68, 36, 78
In the factoring method, we have to find the divisors of all numbers
Divisors of 22 :
The positive integer divisors of 22 that completely divides 22 are.
1, 2, 11, 22
Divisors of 68 :
The positive integer divisors of 68 that completely divides 68 are.
1, 2, 4, 17, 34, 68
Divisors of 36 :
The positive integer divisors of 36 that completely divides 36 are.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 78 :
The positive integer divisors of 78 that completely divides 78 are.
1, 2, 3, 6, 13, 26, 39, 78
GCD of numbers is the greatest common divisor
So, the GCD (22, 68, 36, 78) = 2.
Given numbers are 22, 68, 36, 78
The list of prime factors of all numbers are
Prime factors of 22 are 2 x 11
Prime factors of 68 are 2 x 2 x 17
Prime factors of 36 are 2 x 2 x 3 x 3
Prime factors of 78 are 2 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 22, 68, 36, 78 is 2.
Steps to Calculate GCD of 22, 68, 36, 78 using LCM Formula
Given numbers are 22, 68, 36, 78
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(22, 68) = 748
GCD(22, 68) = ( 22 x 68 ) / 748
= 22 / 68
= 22
Step2:
LCM(2, 36) = 36
GCD(2, 36) = ( 2 x 36 ) / 36
= 2 / 36
= 2
Step3:
LCM(2, 78) = 78
GCD(2, 78) = ( 2 x 78 ) / 78
= 2 / 78
= 2
So, Greatest Common Divisor of 22, 68, 36, 78 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 22, 68, 36, 78
Given numbers are 22, 68, 36, 78
The greatest common divisor of numbers 22, 68, 36, 78 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 22, 68, 36, 78 is 2.
FAQs on GCD of 22, 68, 36, 78 Calculator
1. What is the GCD of 22, 68, 36, 78?
GCD of given numbers 22, 68, 36, 78 is 2
2. How to calculate the greatest common divisor of 22, 68, 36, 78?
We can find the highest common divisor of 22, 68, 36, 78 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 22, 68, 36, 78 i.e 2.
3. How can I use the GCD of 22, 68, 36, 78Calculator?
Out the numbers 22, 68, 36, 78 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.