GCD of 68, 40, 20, 74 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 68, 40, 20, 74 quickly. Get the easiest ways to solve the greatest common divisor of 68, 40, 20, 74 i.e 2 in different methods as follows.
Given Input numbers are 68, 40, 20, 74
In the factoring method, we have to find the divisors of all numbers
Divisors of 68 :
The positive integer divisors of 68 that completely divides 68 are.
1, 2, 4, 17, 34, 68
Divisors of 40 :
The positive integer divisors of 40 that completely divides 40 are.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 20 :
The positive integer divisors of 20 that completely divides 20 are.
1, 2, 4, 5, 10, 20
Divisors of 74 :
The positive integer divisors of 74 that completely divides 74 are.
1, 2, 37, 74
GCD of numbers is the greatest common divisor
So, the GCD (68, 40, 20, 74) = 2.
Given numbers are 68, 40, 20, 74
The list of prime factors of all numbers are
Prime factors of 68 are 2 x 2 x 17
Prime factors of 40 are 2 x 2 x 2 x 5
Prime factors of 20 are 2 x 2 x 5
Prime factors of 74 are 2 x 37
The highest common occurrence is 21
Therefore, GCD of 68, 40, 20, 74 is 2.
Steps to Calculate GCD of 68, 40, 20, 74 using LCM Formula
Given numbers are 68, 40, 20, 74
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(68, 40) = 680
GCD(68, 40) = ( 68 x 40 ) / 680
= 68 / 40
= 68
Step2:
LCM(4, 20) = 20
GCD(4, 20) = ( 4 x 20 ) / 20
= 4 / 20
= 4
Step3:
LCM(4, 74) = 148
GCD(4, 74) = ( 4 x 74 ) / 148
= 4 / 74
= 4
So, Greatest Common Divisor of 68, 40, 20, 74 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 68, 40, 20, 74
Given numbers are 68, 40, 20, 74
The greatest common divisor of numbers 68, 40, 20, 74 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 68, 40, 20, 74 is 2.
FAQs on GCD of 68, 40, 20, 74 Calculator
1. What is the GCD of 68, 40, 20, 74?
GCD of given numbers 68, 40, 20, 74 is 2
2. How to calculate the greatest common divisor of 68, 40, 20, 74?
We can find the highest common divisor of 68, 40, 20, 74 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 68, 40, 20, 74 i.e 2.
3. How can I use the GCD of 68, 40, 20, 74Calculator?
Out the numbers 68, 40, 20, 74 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.