GCD of 600, 250, 420 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 600, 250, 420 quickly. Get the easiest ways to solve the greatest common divisor of 600, 250, 420 i.e 10 in different methods as follows.
Given Input numbers are 600, 250, 420
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 250 :
The positive integer divisors of 250 that completely divides 250 are.
1, 2, 5, 10, 25, 50, 125, 250
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 (600, 250, 420) = 10.
Given numbers are 600, 250, 420
The list of prime factors of all numbers are
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 250 are 2 x 5 x 5 x 5
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 21 x 51
Therefore, GCD of 600, 250, 420 is 10.
Steps to Calculate GCD of 600, 250, 420 using LCM Formula
Given numbers are 600, 250, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 250) = 3000
GCD(600, 250) = ( 600 x 250 ) / 3000
= 600 / 250
= 600
Step2:
LCM(50, 420) = 2100
GCD(50, 420) = ( 50 x 420 ) / 2100
= 50 / 420
= 50
So, Greatest Common Divisor of 600, 250, 420 is 10
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 600, 250, 420
Given numbers are 600, 250, 420
The greatest common divisor of numbers 600, 250, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 250, 420 is 10.
FAQs on GCD of 600, 250, 420 Calculator
1. What is the GCD of 600, 250, 420?
GCD of given numbers 600, 250, 420 is 10
2. How to calculate the greatest common divisor of 600, 250, 420?
We can find the highest common divisor of 600, 250, 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 600, 250, 420 i.e 10.
3. How can I use the GCD of 600, 250, 420Calculator?
Out the numbers 600, 250, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.