Online GCD Calculator is useful to find the GCD of 690, 464, 180, 260 quickly. Get the easiest ways to solve the greatest common divisor of 690, 464, 180, 260 i.e 2 in different methods as follows.
Given Input numbers are 690, 464, 180, 260
In the factoring method, we have to find the divisors of all numbers
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
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 (690, 464, 180, 260) = 2.
Given numbers are 690, 464, 180, 260
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 260 are 2 x 2 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 690, 464, 180, 260 is 2.
Given numbers are 690, 464, 180, 260
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 464) = 160080
GCD(690, 464) = ( 690 x 464 ) / 160080
= 690 / 464
= 690
Step2:
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
= 2 / 180
= 2
Step3:
LCM(2, 260) = 260
GCD(2, 260) = ( 2 x 260 ) / 260
= 2 / 260
= 2
So, Greatest Common Divisor of 690, 464, 180, 260 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 464, 180, 260
The greatest common divisor of numbers 690, 464, 180, 260 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 464, 180, 260 is 2.
1. What is the GCD of 690, 464, 180, 260?
GCD of given numbers 690, 464, 180, 260 is 2
2. How to calculate the greatest common divisor of 690, 464, 180, 260?
We can find the highest common divisor of 690, 464, 180, 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 690, 464, 180, 260 i.e 2.
3. How can I use the GCD of 690, 464, 180, 260Calculator?
Out the numbers 690, 464, 180, 260 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.