GCD of 640, 590, 60 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 640, 590, 60 quickly. Get the easiest ways to solve the greatest common divisor of 640, 590, 60 i.e 10 in different methods as follows.
Given Input numbers are 640, 590, 60
In the factoring method, we have to find the divisors of all numbers
Divisors of 640 :
The positive integer divisors of 640 that completely divides 640 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 60 :
The positive integer divisors of 60 that completely divides 60 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
GCD of numbers is the greatest common divisor
So, the GCD (640, 590, 60) = 10.
Given numbers are 640, 590, 60
The list of prime factors of all numbers are
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 590 are 2 x 5 x 59
Prime factors of 60 are 2 x 2 x 3 x 5
The highest common occurrence is 21 x 51
Therefore, GCD of 640, 590, 60 is 10.
Steps to Calculate GCD of 640, 590, 60 using LCM Formula
Given numbers are 640, 590, 60
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(640, 590) = 37760
GCD(640, 590) = ( 640 x 590 ) / 37760
= 640 / 590
= 640
Step2:
LCM(10, 60) = 60
GCD(10, 60) = ( 10 x 60 ) / 60
= 10 / 60
= 10
So, Greatest Common Divisor of 640, 590, 60 is 10
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 640, 590, 60
Given numbers are 640, 590, 60
The greatest common divisor of numbers 640, 590, 60 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 640, 590, 60 is 10.
FAQs on GCD of 640, 590, 60 Calculator
1. What is the GCD of 640, 590, 60?
GCD of given numbers 640, 590, 60 is 10
2. How to calculate the greatest common divisor of 640, 590, 60?
We can find the highest common divisor of 640, 590, 60 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 640, 590, 60 i.e 10.
3. How can I use the GCD of 640, 590, 60Calculator?
Out the numbers 640, 590, 60 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.