GCD of 870, 570, 320 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 870, 570, 320 quickly. Get the easiest ways to solve the greatest common divisor of 870, 570, 320 i.e 10 in different methods as follows.
Given Input numbers are 870, 570, 320
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 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
GCD of numbers is the greatest common divisor
So, the GCD (870, 570, 320) = 10.
Given numbers are 870, 570, 320
The list of prime factors of all numbers are
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21 x 51
Therefore, GCD of 870, 570, 320 is 10.
Steps to Calculate GCD of 870, 570, 320 using LCM Formula
Given numbers are 870, 570, 320
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(870, 570) = 16530
GCD(870, 570) = ( 870 x 570 ) / 16530
= 870 / 570
= 870
Step2:
LCM(30, 320) = 960
GCD(30, 320) = ( 30 x 320 ) / 960
= 30 / 320
= 30
So, Greatest Common Divisor of 870, 570, 320 is 10
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 870, 570, 320
Given numbers are 870, 570, 320
The greatest common divisor of numbers 870, 570, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 570, 320 is 10.
FAQs on GCD of 870, 570, 320 Calculator
1. What is the GCD of 870, 570, 320?
GCD of given numbers 870, 570, 320 is 10
2. How to calculate the greatest common divisor of 870, 570, 320?
We can find the highest common divisor of 870, 570, 320 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, 570, 320 i.e 10.
3. How can I use the GCD of 870, 570, 320Calculator?
Out the numbers 870, 570, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.