Online GCD Calculator is useful to find the GCD of 120, 752, 506, 191 quickly. Get the easiest ways to solve the greatest common divisor of 120, 752, 506, 191 i.e 1 in different methods as follows.
Given Input numbers are 120, 752, 506, 191
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 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 191 :
The positive integer divisors of 191 that completely divides 191 are.
1, 191
GCD of numbers is the greatest common divisor
So, the GCD (120, 752, 506, 191) = 1.
Given numbers are 120, 752, 506, 191
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 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 506 are 2 x 11 x 23
Prime factors of 191 are 191
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 752, 506, 191
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 752) = 11280
GCD(120, 752) = ( 120 x 752 ) / 11280
= 120 / 752
= 120
Step2:
LCM(8, 506) = 2024
GCD(8, 506) = ( 8 x 506 ) / 2024
= 8 / 506
= 8
Step3:
LCM(2, 191) = 382
GCD(2, 191) = ( 2 x 191 ) / 382
= 2 / 191
= 2
So, Greatest Common Divisor of 120, 752, 506, 191 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 752, 506, 191
The greatest common divisor of numbers 120, 752, 506, 191 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 752, 506, 191 is 1.
1. What is the GCD of 120, 752, 506, 191?
GCD of given numbers 120, 752, 506, 191 is 1
2. How to calculate the greatest common divisor of 120, 752, 506, 191?
We can find the highest common divisor of 120, 752, 506, 191 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, 752, 506, 191 i.e 1.
3. How can I use the GCD of 120, 752, 506, 191Calculator?
Out the numbers 120, 752, 506, 191 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.