GCD of 440, 490, 660 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 440, 490, 660 quickly. Get the easiest ways to solve the greatest common divisor of 440, 490, 660 i.e 10 in different methods as follows.
Given Input numbers are 440, 490, 660
In the factoring method, we have to find the divisors of all numbers
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (440, 490, 660) = 10.
Given numbers are 440, 490, 660
The list of prime factors of all numbers are
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 21 x 51
Therefore, GCD of 440, 490, 660 is 10.
Steps to Calculate GCD of 440, 490, 660 using LCM Formula
Given numbers are 440, 490, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(440, 490) = 21560
GCD(440, 490) = ( 440 x 490 ) / 21560
= 440 / 490
= 440
Step2:
LCM(10, 660) = 660
GCD(10, 660) = ( 10 x 660 ) / 660
= 10 / 660
= 10
So, Greatest Common Divisor of 440, 490, 660 is 10
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 440, 490, 660
Given numbers are 440, 490, 660
The greatest common divisor of numbers 440, 490, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 490, 660 is 10.
FAQs on GCD of 440, 490, 660 Calculator
1. What is the GCD of 440, 490, 660?
GCD of given numbers 440, 490, 660 is 10
2. How to calculate the greatest common divisor of 440, 490, 660?
We can find the highest common divisor of 440, 490, 660 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 440, 490, 660 i.e 10.
3. How can I use the GCD of 440, 490, 660Calculator?
Out the numbers 440, 490, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.