GCD of 55, 45, 85, 80 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 55, 45, 85, 80 quickly. Get the easiest ways to solve the greatest common divisor of 55, 45, 85, 80 i.e 5 in different methods as follows.
Given Input numbers are 55, 45, 85, 80
In the factoring method, we have to find the divisors of all numbers
Divisors of 55 :
The positive integer divisors of 55 that completely divides 55 are.
1, 5, 11, 55
Divisors of 45 :
The positive integer divisors of 45 that completely divides 45 are.
1, 3, 5, 9, 15, 45
Divisors of 85 :
The positive integer divisors of 85 that completely divides 85 are.
1, 5, 17, 85
Divisors of 80 :
The positive integer divisors of 80 that completely divides 80 are.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
GCD of numbers is the greatest common divisor
So, the GCD (55, 45, 85, 80) = 5.
Given numbers are 55, 45, 85, 80
The list of prime factors of all numbers are
Prime factors of 55 are 5 x 11
Prime factors of 45 are 3 x 3 x 5
Prime factors of 85 are 5 x 17
Prime factors of 80 are 2 x 2 x 2 x 2 x 5
The highest common occurrence is 51
Therefore, GCD of 55, 45, 85, 80 is 5.
Steps to Calculate GCD of 55, 45, 85, 80 using LCM Formula
Given numbers are 55, 45, 85, 80
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(55, 45) = 495
GCD(55, 45) = ( 55 x 45 ) / 495
= 55 / 45
= 55
Step2:
LCM(5, 85) = 85
GCD(5, 85) = ( 5 x 85 ) / 85
= 5 / 85
= 5
Step3:
LCM(5, 80) = 80
GCD(5, 80) = ( 5 x 80 ) / 80
= 5 / 80
= 5
So, Greatest Common Divisor of 55, 45, 85, 80 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 55, 45, 85, 80
Given numbers are 55, 45, 85, 80
The greatest common divisor of numbers 55, 45, 85, 80 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 55, 45, 85, 80 is 5.
FAQs on GCD of 55, 45, 85, 80 Calculator
1. What is the GCD of 55, 45, 85, 80?
GCD of given numbers 55, 45, 85, 80 is 5
2. How to calculate the greatest common divisor of 55, 45, 85, 80?
We can find the highest common divisor of 55, 45, 85, 80 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 55, 45, 85, 80 i.e 5.
3. How can I use the GCD of 55, 45, 85, 80Calculator?
Out the numbers 55, 45, 85, 80 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.