GCD of 660, 675, 420 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 660, 675, 420 quickly. Get the easiest ways to solve the greatest common divisor of 660, 675, 420 i.e 15 in different methods as follows.
Given Input numbers are 660, 675, 420
In the factoring method, we have to find the divisors of all numbers
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 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (660, 675, 420) = 15.
Given numbers are 660, 675, 420
The list of prime factors of all numbers are
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 31 x 51
Therefore, GCD of 660, 675, 420 is 15.
Steps to Calculate GCD of 660, 675, 420 using LCM Formula
Given numbers are 660, 675, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 675) = 29700
GCD(660, 675) = ( 660 x 675 ) / 29700
= 660 / 675
= 660
Step2:
LCM(15, 420) = 420
GCD(15, 420) = ( 15 x 420 ) / 420
= 15 / 420
= 15
So, Greatest Common Divisor of 660, 675, 420 is 15
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 660, 675, 420
Given numbers are 660, 675, 420
The greatest common divisor of numbers 660, 675, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 675, 420 is 15.
FAQs on GCD of 660, 675, 420 Calculator
1. What is the GCD of 660, 675, 420?
GCD of given numbers 660, 675, 420 is 15
2. How to calculate the greatest common divisor of 660, 675, 420?
We can find the highest common divisor of 660, 675, 420 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 660, 675, 420 i.e 15.
3. How can I use the GCD of 660, 675, 420Calculator?
Out the numbers 660, 675, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.