GCD of 680, 780, 660 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 680, 780, 660 quickly. Get the easiest ways to solve the greatest common divisor of 680, 780, 660 i.e 20 in different methods as follows.
Given Input numbers are 680, 780, 660
In the factoring method, we have to find the divisors of all numbers
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
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
GCD of numbers is the greatest common divisor
So, the GCD (680, 780, 660) = 20.
Given numbers are 680, 780, 660
The list of prime factors of all numbers are
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 22 x 51
Therefore, GCD of 680, 780, 660 is 20.
Steps to Calculate GCD of 680, 780, 660 using LCM Formula
Given numbers are 680, 780, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 780) = 26520
GCD(680, 780) = ( 680 x 780 ) / 26520
= 680 / 780
= 680
Step2:
LCM(20, 660) = 660
GCD(20, 660) = ( 20 x 660 ) / 660
= 20 / 660
= 20
So, Greatest Common Divisor of 680, 780, 660 is 20
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 680, 780, 660
Given numbers are 680, 780, 660
The greatest common divisor of numbers 680, 780, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 780, 660 is 20.
FAQs on GCD of 680, 780, 660 Calculator
1. What is the GCD of 680, 780, 660?
GCD of given numbers 680, 780, 660 is 20
2. How to calculate the greatest common divisor of 680, 780, 660?
We can find the highest common divisor of 680, 780, 660 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 680, 780, 660 i.e 20.
3. How can I use the GCD of 680, 780, 660Calculator?
Out the numbers 680, 780, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.