GCD of 110, 490, 660 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 110, 490, 660 quickly. Get the easiest ways to solve the greatest common divisor of 110, 490, 660 i.e 10 in different methods as follows.
Given Input numbers are 110, 490, 660
In the factoring method, we have to find the divisors of all numbers
Divisors of 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
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 (110, 490, 660) = 10.
Given numbers are 110, 490, 660
The list of prime factors of all numbers are
Prime factors of 110 are 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 110, 490, 660 is 10.
Steps to Calculate GCD of 110, 490, 660 using LCM Formula
Given numbers are 110, 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(110, 490) = 5390
GCD(110, 490) = ( 110 x 490 ) / 5390
= 110 / 490
= 110
Step2:
LCM(10, 660) = 660
GCD(10, 660) = ( 10 x 660 ) / 660
= 10 / 660
= 10
So, Greatest Common Divisor of 110, 490, 660 is 10
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 110, 490, 660
Given numbers are 110, 490, 660
The greatest common divisor of numbers 110, 490, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 110, 490, 660 is 10.
FAQs on GCD of 110, 490, 660 Calculator
1. What is the GCD of 110, 490, 660?
GCD of given numbers 110, 490, 660 is 10
2. How to calculate the greatest common divisor of 110, 490, 660?
We can find the highest common divisor of 110, 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 110, 490, 660 i.e 10.
3. How can I use the GCD of 110, 490, 660Calculator?
Out the numbers 110, 490, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.