Online GCD Calculator is useful to find the GCD of 466, 764, 436, 360 quickly. Get the easiest ways to solve the greatest common divisor of 466, 764, 436, 360 i.e 2 in different methods as follows.
Given Input numbers are 466, 764, 436, 360
In the factoring method, we have to find the divisors of all numbers
Divisors of 466 :
The positive integer divisors of 466 that completely divides 466 are.
1, 2, 233, 466
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
GCD of numbers is the greatest common divisor
So, the GCD (466, 764, 436, 360) = 2.
Given numbers are 466, 764, 436, 360
The list of prime factors of all numbers are
Prime factors of 466 are 2 x 233
Prime factors of 764 are 2 x 2 x 191
Prime factors of 436 are 2 x 2 x 109
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 466, 764, 436, 360 is 2.
Given numbers are 466, 764, 436, 360
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(466, 764) = 178012
GCD(466, 764) = ( 466 x 764 ) / 178012
= 466 / 764
= 466
Step2:
LCM(2, 436) = 436
GCD(2, 436) = ( 2 x 436 ) / 436
= 2 / 436
= 2
Step3:
LCM(2, 360) = 360
GCD(2, 360) = ( 2 x 360 ) / 360
= 2 / 360
= 2
So, Greatest Common Divisor of 466, 764, 436, 360 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 466, 764, 436, 360
The greatest common divisor of numbers 466, 764, 436, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 466, 764, 436, 360 is 2.
1. What is the GCD of 466, 764, 436, 360?
GCD of given numbers 466, 764, 436, 360 is 2
2. How to calculate the greatest common divisor of 466, 764, 436, 360?
We can find the highest common divisor of 466, 764, 436, 360 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 466, 764, 436, 360 i.e 2.
3. How can I use the GCD of 466, 764, 436, 360Calculator?
Out the numbers 466, 764, 436, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.