Online GCD Calculator is useful to find the GCD of 120, 438, 944, 715 quickly. Get the easiest ways to solve the greatest common divisor of 120, 438, 944, 715 i.e 1 in different methods as follows.
Given Input numbers are 120, 438, 944, 715
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 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 944 :
The positive integer divisors of 944 that completely divides 944 are.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
GCD of numbers is the greatest common divisor
So, the GCD (120, 438, 944, 715) = 1.
Given numbers are 120, 438, 944, 715
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 438 are 2 x 3 x 73
Prime factors of 944 are 2 x 2 x 2 x 2 x 59
Prime factors of 715 are 5 x 11 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 438, 944, 715
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 438) = 8760
GCD(120, 438) = ( 120 x 438 ) / 8760
= 120 / 438
= 120
Step2:
LCM(6, 944) = 2832
GCD(6, 944) = ( 6 x 944 ) / 2832
= 6 / 944
= 6
Step3:
LCM(2, 715) = 1430
GCD(2, 715) = ( 2 x 715 ) / 1430
= 2 / 715
= 2
So, Greatest Common Divisor of 120, 438, 944, 715 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 438, 944, 715
The greatest common divisor of numbers 120, 438, 944, 715 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 438, 944, 715 is 1.
1. What is the GCD of 120, 438, 944, 715?
GCD of given numbers 120, 438, 944, 715 is 1
2. How to calculate the greatest common divisor of 120, 438, 944, 715?
We can find the highest common divisor of 120, 438, 944, 715 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, 438, 944, 715 i.e 1.
3. How can I use the GCD of 120, 438, 944, 715Calculator?
Out the numbers 120, 438, 944, 715 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.