Online GCD Calculator is useful to find the GCD of 660, 590, 260 quickly. Get the easiest ways to solve the greatest common divisor of 660, 590, 260 i.e 10 in different methods as follows.
Given Input numbers are 660, 590, 260
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
GCD of numbers is the greatest common divisor
So, the GCD (660, 590, 260) = 10.
Given numbers are 660, 590, 260
The list of prime factors of all numbers are
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 590 are 2 x 5 x 59
Prime factors of 260 are 2 x 2 x 5 x 13
The highest common occurrence is 21 x 51
Therefore, GCD of 660, 590, 260 is 10.
Given numbers are 660, 590, 260
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 590) = 38940
GCD(660, 590) = ( 660 x 590 ) / 38940
= 660 / 590
= 660
Step2:
LCM(10, 260) = 260
GCD(10, 260) = ( 10 x 260 ) / 260
= 10 / 260
= 10
So, Greatest Common Divisor of 660, 590, 260 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 590, 260
The greatest common divisor of numbers 660, 590, 260 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 590, 260 is 10.
1. What is the GCD of 660, 590, 260?
GCD of given numbers 660, 590, 260 is 10
2. How to calculate the greatest common divisor of 660, 590, 260?
We can find the highest common divisor of 660, 590, 260 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 660, 590, 260 i.e 10.
3. How can I use the GCD of 660, 590, 260Calculator?
Out the numbers 660, 590, 260 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.