Online GCD Calculator is useful to find the GCD of 312, 496, 535, 150 quickly. Get the easiest ways to solve the greatest common divisor of 312, 496, 535, 150 i.e 1 in different methods as follows.
Given Input numbers are 312, 496, 535, 150
In the factoring method, we have to find the divisors of all numbers
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 535 :
The positive integer divisors of 535 that completely divides 535 are.
1, 5, 107, 535
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
GCD of numbers is the greatest common divisor
So, the GCD (312, 496, 535, 150) = 1.
Given numbers are 312, 496, 535, 150
The list of prime factors of all numbers are
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 535 are 5 x 107
Prime factors of 150 are 2 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 312, 496, 535, 150
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 496) = 19344
GCD(312, 496) = ( 312 x 496 ) / 19344
= 312 / 496
= 312
Step2:
LCM(8, 535) = 4280
GCD(8, 535) = ( 8 x 535 ) / 4280
= 8 / 535
= 8
Step3:
LCM(1, 150) = 150
GCD(1, 150) = ( 1 x 150 ) / 150
= 1 / 150
= 1
So, Greatest Common Divisor of 312, 496, 535, 150 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 496, 535, 150
The greatest common divisor of numbers 312, 496, 535, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 496, 535, 150 is 1.
1. What is the GCD of 312, 496, 535, 150?
GCD of given numbers 312, 496, 535, 150 is 1
2. How to calculate the greatest common divisor of 312, 496, 535, 150?
We can find the highest common divisor of 312, 496, 535, 150 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 312, 496, 535, 150 i.e 1.
3. How can I use the GCD of 312, 496, 535, 150Calculator?
Out the numbers 312, 496, 535, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.