Online GCD Calculator is useful to find the GCD of 120, 649, 730, 675 quickly. Get the easiest ways to solve the greatest common divisor of 120, 649, 730, 675 i.e 1 in different methods as follows.
Given Input numbers are 120, 649, 730, 675
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 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
GCD of numbers is the greatest common divisor
So, the GCD (120, 649, 730, 675) = 1.
Given numbers are 120, 649, 730, 675
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 649 are 11 x 59
Prime factors of 730 are 2 x 5 x 73
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 649, 730, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 649) = 77880
GCD(120, 649) = ( 120 x 649 ) / 77880
= 120 / 649
= 120
Step2:
LCM(1, 730) = 730
GCD(1, 730) = ( 1 x 730 ) / 730
= 1 / 730
= 1
Step3:
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
= 1 / 675
= 1
So, Greatest Common Divisor of 120, 649, 730, 675 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 649, 730, 675
The greatest common divisor of numbers 120, 649, 730, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 649, 730, 675 is 1.
1. What is the GCD of 120, 649, 730, 675?
GCD of given numbers 120, 649, 730, 675 is 1
2. How to calculate the greatest common divisor of 120, 649, 730, 675?
We can find the highest common divisor of 120, 649, 730, 675 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, 649, 730, 675 i.e 1.
3. How can I use the GCD of 120, 649, 730, 675Calculator?
Out the numbers 120, 649, 730, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.