GCD of 960, 984, 420 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 960, 984, 420 quickly. Get the easiest ways to solve the greatest common divisor of 960, 984, 420 i.e 12 in different methods as follows.
Given Input numbers are 960, 984, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
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 (960, 984, 420) = 12.
Given numbers are 960, 984, 420
The list of prime factors of all numbers are
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 22 x 31
Therefore, GCD of 960, 984, 420 is 12.
Steps to Calculate GCD of 960, 984, 420 using LCM Formula
Given numbers are 960, 984, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(960, 984) = 39360
GCD(960, 984) = ( 960 x 984 ) / 39360
= 960 / 984
= 960
Step2:
LCM(24, 420) = 840
GCD(24, 420) = ( 24 x 420 ) / 840
= 24 / 420
= 24
So, Greatest Common Divisor of 960, 984, 420 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 960, 984, 420
Given numbers are 960, 984, 420
The greatest common divisor of numbers 960, 984, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 984, 420 is 12.
FAQs on GCD of 960, 984, 420 Calculator
1. What is the GCD of 960, 984, 420?
GCD of given numbers 960, 984, 420 is 12
2. How to calculate the greatest common divisor of 960, 984, 420?
We can find the highest common divisor of 960, 984, 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 960, 984, 420 i.e 12.
3. How can I use the GCD of 960, 984, 420Calculator?
Out the numbers 960, 984, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.