Online GCD Calculator is useful to find the GCD of 120, 253, 318, 336 quickly. Get the easiest ways to solve the greatest common divisor of 120, 253, 318, 336 i.e 1 in different methods as follows.
Given Input numbers are 120, 253, 318, 336
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 253 :
The positive integer divisors of 253 that completely divides 253 are.
1, 11, 23, 253
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
GCD of numbers is the greatest common divisor
So, the GCD (120, 253, 318, 336) = 1.
Given numbers are 120, 253, 318, 336
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 253 are 11 x 23
Prime factors of 318 are 2 x 3 x 53
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 253, 318, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 253) = 30360
GCD(120, 253) = ( 120 x 253 ) / 30360
= 120 / 253
= 120
Step2:
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
= 1 / 318
= 1
Step3:
LCM(1, 336) = 336
GCD(1, 336) = ( 1 x 336 ) / 336
= 1 / 336
= 1
So, Greatest Common Divisor of 120, 253, 318, 336 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 253, 318, 336
The greatest common divisor of numbers 120, 253, 318, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 253, 318, 336 is 1.
1. What is the GCD of 120, 253, 318, 336?
GCD of given numbers 120, 253, 318, 336 is 1
2. How to calculate the greatest common divisor of 120, 253, 318, 336?
We can find the highest common divisor of 120, 253, 318, 336 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 120, 253, 318, 336 i.e 1.
3. How can I use the GCD of 120, 253, 318, 336Calculator?
Out the numbers 120, 253, 318, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.