Online GCD Calculator is useful to find the GCD of 120, 599, 134, 735 quickly. Get the easiest ways to solve the greatest common divisor of 120, 599, 134, 735 i.e 1 in different methods as follows.
Given Input numbers are 120, 599, 134, 735
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 599 :
The positive integer divisors of 599 that completely divides 599 are.
1, 599
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
GCD of numbers is the greatest common divisor
So, the GCD (120, 599, 134, 735) = 1.
Given numbers are 120, 599, 134, 735
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 599 are 599
Prime factors of 134 are 2 x 67
Prime factors of 735 are 3 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 599, 134, 735
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 599) = 71880
GCD(120, 599) = ( 120 x 599 ) / 71880
= 120 / 599
= 120
Step2:
LCM(1, 134) = 134
GCD(1, 134) = ( 1 x 134 ) / 134
= 1 / 134
= 1
Step3:
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
= 1 / 735
= 1
So, Greatest Common Divisor of 120, 599, 134, 735 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 599, 134, 735
The greatest common divisor of numbers 120, 599, 134, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 599, 134, 735 is 1.
1. What is the GCD of 120, 599, 134, 735?
GCD of given numbers 120, 599, 134, 735 is 1
2. How to calculate the greatest common divisor of 120, 599, 134, 735?
We can find the highest common divisor of 120, 599, 134, 735 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, 599, 134, 735 i.e 1.
3. How can I use the GCD of 120, 599, 134, 735Calculator?
Out the numbers 120, 599, 134, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.