GCD of 135, 660, 77 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 135, 660, 77 quickly. Get the easiest ways to solve the greatest common divisor of 135, 660, 77 i.e 1 in different methods as follows.
Given Input numbers are 135, 660, 77
In the factoring method, we have to find the divisors of all numbers
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 77 :
The positive integer divisors of 77 that completely divides 77 are.
1, 7, 11, 77
GCD of numbers is the greatest common divisor
So, the GCD (135, 660, 77) = 1.
Given numbers are 135, 660, 77
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 77 are 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 135, 660, 77 using LCM Formula
Given numbers are 135, 660, 77
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 660) = 5940
GCD(135, 660) = ( 135 x 660 ) / 5940
= 135 / 660
= 135
Step2:
LCM(15, 77) = 1155
GCD(15, 77) = ( 15 x 77 ) / 1155
= 15 / 77
= 15
So, Greatest Common Divisor of 135, 660, 77 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 135, 660, 77
Given numbers are 135, 660, 77
The greatest common divisor of numbers 135, 660, 77 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 660, 77 is 1.
FAQs on GCD of 135, 660, 77 Calculator
1. What is the GCD of 135, 660, 77?
GCD of given numbers 135, 660, 77 is 1
2. How to calculate the greatest common divisor of 135, 660, 77?
We can find the highest common divisor of 135, 660, 77 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 135, 660, 77 i.e 1.
3. How can I use the GCD of 135, 660, 77Calculator?
Out the numbers 135, 660, 77 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.