GCD of 40, 45, 72, 78 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 40, 45, 72, 78 quickly. Get the easiest ways to solve the greatest common divisor of 40, 45, 72, 78 i.e 1 in different methods as follows.
Given Input numbers are 40, 45, 72, 78
In the factoring method, we have to find the divisors of all numbers
Divisors of 40 :
The positive integer divisors of 40 that completely divides 40 are.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 45 :
The positive integer divisors of 45 that completely divides 45 are.
1, 3, 5, 9, 15, 45
Divisors of 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
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 (40, 45, 72, 78) = 1.
Given numbers are 40, 45, 72, 78
The list of prime factors of all numbers are
Prime factors of 40 are 2 x 2 x 2 x 5
Prime factors of 45 are 3 x 3 x 5
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
Prime factors of 78 are 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 40, 45, 72, 78 using LCM Formula
Given numbers are 40, 45, 72, 78
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(40, 45) = 360
GCD(40, 45) = ( 40 x 45 ) / 360
= 40 / 45
= 40
Step2:
LCM(5, 72) = 360
GCD(5, 72) = ( 5 x 72 ) / 360
= 5 / 72
= 5
Step3:
LCM(1, 78) = 78
GCD(1, 78) = ( 1 x 78 ) / 78
= 1 / 78
= 1
So, Greatest Common Divisor of 40, 45, 72, 78 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 40, 45, 72, 78
Given numbers are 40, 45, 72, 78
The greatest common divisor of numbers 40, 45, 72, 78 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 40, 45, 72, 78 is 1.
FAQs on GCD of 40, 45, 72, 78 Calculator
1. What is the GCD of 40, 45, 72, 78?
GCD of given numbers 40, 45, 72, 78 is 1
2. How to calculate the greatest common divisor of 40, 45, 72, 78?
We can find the highest common divisor of 40, 45, 72, 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 40, 45, 72, 78 i.e 1.
3. How can I use the GCD of 40, 45, 72, 78Calculator?
Out the numbers 40, 45, 72, 78 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.