Online GCD Calculator is useful to find the GCD of 660, 362, 510, 720 quickly. Get the easiest ways to solve the greatest common divisor of 660, 362, 510, 720 i.e 2 in different methods as follows.
Given Input numbers are 660, 362, 510, 720
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 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 510 :
The positive integer divisors of 510 that completely divides 510 are.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
GCD of numbers is the greatest common divisor
So, the GCD (660, 362, 510, 720) = 2.
Given numbers are 660, 362, 510, 720
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 362 are 2 x 181
Prime factors of 510 are 2 x 3 x 5 x 17
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 660, 362, 510, 720 is 2.
Given numbers are 660, 362, 510, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 362) = 119460
GCD(660, 362) = ( 660 x 362 ) / 119460
= 660 / 362
= 660
Step2:
LCM(2, 510) = 510
GCD(2, 510) = ( 2 x 510 ) / 510
= 2 / 510
= 2
Step3:
LCM(2, 720) = 720
GCD(2, 720) = ( 2 x 720 ) / 720
= 2 / 720
= 2
So, Greatest Common Divisor of 660, 362, 510, 720 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 362, 510, 720
The greatest common divisor of numbers 660, 362, 510, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 362, 510, 720 is 2.
1. What is the GCD of 660, 362, 510, 720?
GCD of given numbers 660, 362, 510, 720 is 2
2. How to calculate the greatest common divisor of 660, 362, 510, 720?
We can find the highest common divisor of 660, 362, 510, 720 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, 362, 510, 720 i.e 2.
3. How can I use the GCD of 660, 362, 510, 720Calculator?
Out the numbers 660, 362, 510, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.