Online GCD Calculator is useful to find the GCD of 438, 307, 803, 120 quickly. Get the easiest ways to solve the greatest common divisor of 438, 307, 803, 120 i.e 1 in different methods as follows.
Given Input numbers are 438, 307, 803, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 307 :
The positive integer divisors of 307 that completely divides 307 are.
1, 307
Divisors of 803 :
The positive integer divisors of 803 that completely divides 803 are.
1, 11, 73, 803
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
GCD of numbers is the greatest common divisor
So, the GCD (438, 307, 803, 120) = 1.
Given numbers are 438, 307, 803, 120
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 307 are 307
Prime factors of 803 are 11 x 73
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 438, 307, 803, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 307) = 134466
GCD(438, 307) = ( 438 x 307 ) / 134466
= 438 / 307
= 438
Step2:
LCM(1, 803) = 803
GCD(1, 803) = ( 1 x 803 ) / 803
= 1 / 803
= 1
Step3:
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
= 1 / 120
= 1
So, Greatest Common Divisor of 438, 307, 803, 120 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 438, 307, 803, 120
The greatest common divisor of numbers 438, 307, 803, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 307, 803, 120 is 1.
1. What is the GCD of 438, 307, 803, 120?
GCD of given numbers 438, 307, 803, 120 is 1
2. How to calculate the greatest common divisor of 438, 307, 803, 120?
We can find the highest common divisor of 438, 307, 803, 120 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 438, 307, 803, 120 i.e 1.
3. How can I use the GCD of 438, 307, 803, 120Calculator?
Out the numbers 438, 307, 803, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.