Online GCD Calculator is useful to find the GCD of 120, 607, 689, 449 quickly. Get the easiest ways to solve the greatest common divisor of 120, 607, 689, 449 i.e 1 in different methods as follows.
Given Input numbers are 120, 607, 689, 449
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 607 :
The positive integer divisors of 607 that completely divides 607 are.
1, 607
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 449 :
The positive integer divisors of 449 that completely divides 449 are.
1, 449
GCD of numbers is the greatest common divisor
So, the GCD (120, 607, 689, 449) = 1.
Given numbers are 120, 607, 689, 449
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 607 are 607
Prime factors of 689 are 13 x 53
Prime factors of 449 are 449
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 607, 689, 449
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 607) = 72840
GCD(120, 607) = ( 120 x 607 ) / 72840
= 120 / 607
= 120
Step2:
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
= 1 / 689
= 1
Step3:
LCM(1, 449) = 449
GCD(1, 449) = ( 1 x 449 ) / 449
= 1 / 449
= 1
So, Greatest Common Divisor of 120, 607, 689, 449 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 607, 689, 449
The greatest common divisor of numbers 120, 607, 689, 449 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 607, 689, 449 is 1.
1. What is the GCD of 120, 607, 689, 449?
GCD of given numbers 120, 607, 689, 449 is 1
2. How to calculate the greatest common divisor of 120, 607, 689, 449?
We can find the highest common divisor of 120, 607, 689, 449 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, 607, 689, 449 i.e 1.
3. How can I use the GCD of 120, 607, 689, 449Calculator?
Out the numbers 120, 607, 689, 449 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.