GCD of 987, 567, 420 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 987, 567, 420 quickly. Get the easiest ways to solve the greatest common divisor of 987, 567, 420 i.e 21 in different methods as follows.
Given Input numbers are 987, 567, 420
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 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
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 (987, 567, 420) = 21.
Given numbers are 987, 567, 420
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 31 x 71
Therefore, GCD of 987, 567, 420 is 21.
Steps to Calculate GCD of 987, 567, 420 using LCM Formula
Given numbers are 987, 567, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 567) = 26649
GCD(987, 567) = ( 987 x 567 ) / 26649
= 987 / 567
= 987
Step2:
LCM(21, 420) = 420
GCD(21, 420) = ( 21 x 420 ) / 420
= 21 / 420
= 21
So, Greatest Common Divisor of 987, 567, 420 is 21
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 987, 567, 420
Given numbers are 987, 567, 420
The greatest common divisor of numbers 987, 567, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 567, 420 is 21.
FAQs on GCD of 987, 567, 420 Calculator
1. What is the GCD of 987, 567, 420?
GCD of given numbers 987, 567, 420 is 21
2. How to calculate the greatest common divisor of 987, 567, 420?
We can find the highest common divisor of 987, 567, 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 987, 567, 420 i.e 21.
3. How can I use the GCD of 987, 567, 420Calculator?
Out the numbers 987, 567, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.