GCD of 987, 420, 600 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 987, 420, 600 quickly. Get the easiest ways to solve the greatest common divisor of 987, 420, 600 i.e 3 in different methods as follows.
Given Input numbers are 987, 420, 600
In the factoring method, we have to find the divisors of all numbers
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
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
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
GCD of numbers is the greatest common divisor
So, the GCD (987, 420, 600) = 3.
Given numbers are 987, 420, 600
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 987, 420, 600 is 3.
Steps to Calculate GCD of 987, 420, 600 using LCM Formula
Given numbers are 987, 420, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 420) = 19740
GCD(987, 420) = ( 987 x 420 ) / 19740
= 987 / 420
= 987
Step2:
LCM(21, 600) = 4200
GCD(21, 600) = ( 21 x 600 ) / 4200
= 21 / 600
= 21
So, Greatest Common Divisor of 987, 420, 600 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 987, 420, 600
Given numbers are 987, 420, 600
The greatest common divisor of numbers 987, 420, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 420, 600 is 3.
FAQs on GCD of 987, 420, 600 Calculator
1. What is the GCD of 987, 420, 600?
GCD of given numbers 987, 420, 600 is 3
2. How to calculate the greatest common divisor of 987, 420, 600?
We can find the highest common divisor of 987, 420, 600 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 987, 420, 600 i.e 3.
3. How can I use the GCD of 987, 420, 600Calculator?
Out the numbers 987, 420, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.