Online GCD Calculator is useful to find the GCD of 480, 358, 612, 764 quickly. Get the easiest ways to solve the greatest common divisor of 480, 358, 612, 764 i.e 2 in different methods as follows.
Given Input numbers are 480, 358, 612, 764
In the factoring method, we have to find the divisors of all numbers
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
GCD of numbers is the greatest common divisor
So, the GCD (480, 358, 612, 764) = 2.
Given numbers are 480, 358, 612, 764
The list of prime factors of all numbers are
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 358 are 2 x 179
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 764 are 2 x 2 x 191
The highest common occurrence is 21
Therefore, GCD of 480, 358, 612, 764 is 2.
Given numbers are 480, 358, 612, 764
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(480, 358) = 85920
GCD(480, 358) = ( 480 x 358 ) / 85920
= 480 / 358
= 480
Step2:
LCM(2, 612) = 612
GCD(2, 612) = ( 2 x 612 ) / 612
= 2 / 612
= 2
Step3:
LCM(2, 764) = 764
GCD(2, 764) = ( 2 x 764 ) / 764
= 2 / 764
= 2
So, Greatest Common Divisor of 480, 358, 612, 764 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 480, 358, 612, 764
The greatest common divisor of numbers 480, 358, 612, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 358, 612, 764 is 2.
1. What is the GCD of 480, 358, 612, 764?
GCD of given numbers 480, 358, 612, 764 is 2
2. How to calculate the greatest common divisor of 480, 358, 612, 764?
We can find the highest common divisor of 480, 358, 612, 764 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 480, 358, 612, 764 i.e 2.
3. How can I use the GCD of 480, 358, 612, 764Calculator?
Out the numbers 480, 358, 612, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.