Online GCD Calculator is useful to find the GCD of 179, 120, 152, 200 quickly. Get the easiest ways to solve the greatest common divisor of 179, 120, 152, 200 i.e 1 in different methods as follows.
Given Input numbers are 179, 120, 152, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 179 :
The positive integer divisors of 179 that completely divides 179 are.
1, 179
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 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (179, 120, 152, 200) = 1.
Given numbers are 179, 120, 152, 200
The list of prime factors of all numbers are
Prime factors of 179 are 179
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 152 are 2 x 2 x 2 x 19
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 179, 120, 152, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(179, 120) = 21480
GCD(179, 120) = ( 179 x 120 ) / 21480
= 179 / 120
= 179
Step2:
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
= 1 / 152
= 1
Step3:
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
= 1 / 200
= 1
So, Greatest Common Divisor of 179, 120, 152, 200 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 179, 120, 152, 200
The greatest common divisor of numbers 179, 120, 152, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 179, 120, 152, 200 is 1.
1. What is the GCD of 179, 120, 152, 200?
GCD of given numbers 179, 120, 152, 200 is 1
2. How to calculate the greatest common divisor of 179, 120, 152, 200?
We can find the highest common divisor of 179, 120, 152, 200 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 179, 120, 152, 200 i.e 1.
3. How can I use the GCD of 179, 120, 152, 200Calculator?
Out the numbers 179, 120, 152, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.