GCD of 870, 835, 420 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 870, 835, 420 quickly. Get the easiest ways to solve the greatest common divisor of 870, 835, 420 i.e 5 in different methods as follows.
Given Input numbers are 870, 835, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 835 :
The positive integer divisors of 835 that completely divides 835 are.
1, 5, 167, 835
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 (870, 835, 420) = 5.
Given numbers are 870, 835, 420
The list of prime factors of all numbers are
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 835 are 5 x 167
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 51
Therefore, GCD of 870, 835, 420 is 5.
Steps to Calculate GCD of 870, 835, 420 using LCM Formula
Given numbers are 870, 835, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(870, 835) = 145290
GCD(870, 835) = ( 870 x 835 ) / 145290
= 870 / 835
= 870
Step2:
LCM(5, 420) = 420
GCD(5, 420) = ( 5 x 420 ) / 420
= 5 / 420
= 5
So, Greatest Common Divisor of 870, 835, 420 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 870, 835, 420
Given numbers are 870, 835, 420
The greatest common divisor of numbers 870, 835, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 835, 420 is 5.
FAQs on GCD of 870, 835, 420 Calculator
1. What is the GCD of 870, 835, 420?
GCD of given numbers 870, 835, 420 is 5
2. How to calculate the greatest common divisor of 870, 835, 420?
We can find the highest common divisor of 870, 835, 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 870, 835, 420 i.e 5.
3. How can I use the GCD of 870, 835, 420Calculator?
Out the numbers 870, 835, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.