Online GCD Calculator is useful to find the GCD of 480, 262, 998, 596 quickly. Get the easiest ways to solve the greatest common divisor of 480, 262, 998, 596 i.e 2 in different methods as follows.
Given Input numbers are 480, 262, 998, 596
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 262 :
The positive integer divisors of 262 that completely divides 262 are.
1, 2, 131, 262
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 596 :
The positive integer divisors of 596 that completely divides 596 are.
1, 2, 4, 149, 298, 596
GCD of numbers is the greatest common divisor
So, the GCD (480, 262, 998, 596) = 2.
Given numbers are 480, 262, 998, 596
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 262 are 2 x 131
Prime factors of 998 are 2 x 499
Prime factors of 596 are 2 x 2 x 149
The highest common occurrence is 21
Therefore, GCD of 480, 262, 998, 596 is 2.
Given numbers are 480, 262, 998, 596
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(480, 262) = 62880
GCD(480, 262) = ( 480 x 262 ) / 62880
= 480 / 262
= 480
Step2:
LCM(2, 998) = 998
GCD(2, 998) = ( 2 x 998 ) / 998
= 2 / 998
= 2
Step3:
LCM(2, 596) = 596
GCD(2, 596) = ( 2 x 596 ) / 596
= 2 / 596
= 2
So, Greatest Common Divisor of 480, 262, 998, 596 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 480, 262, 998, 596
The greatest common divisor of numbers 480, 262, 998, 596 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 262, 998, 596 is 2.
1. What is the GCD of 480, 262, 998, 596?
GCD of given numbers 480, 262, 998, 596 is 2
2. How to calculate the greatest common divisor of 480, 262, 998, 596?
We can find the highest common divisor of 480, 262, 998, 596 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, 262, 998, 596 i.e 2.
3. How can I use the GCD of 480, 262, 998, 596Calculator?
Out the numbers 480, 262, 998, 596 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.