Online GCD Calculator is useful to find the GCD of 238, 120, 283, 699 quickly. Get the easiest ways to solve the greatest common divisor of 238, 120, 283, 699 i.e 1 in different methods as follows.
Given Input numbers are 238, 120, 283, 699
In the factoring method, we have to find the divisors of all numbers
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
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 283 :
The positive integer divisors of 283 that completely divides 283 are.
1, 283
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
GCD of numbers is the greatest common divisor
So, the GCD (238, 120, 283, 699) = 1.
Given numbers are 238, 120, 283, 699
The list of prime factors of all numbers are
Prime factors of 238 are 2 x 7 x 17
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 283 are 283
Prime factors of 699 are 3 x 233
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 238, 120, 283, 699
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(238, 120) = 14280
GCD(238, 120) = ( 238 x 120 ) / 14280
= 238 / 120
= 238
Step2:
LCM(2, 283) = 566
GCD(2, 283) = ( 2 x 283 ) / 566
= 2 / 283
= 2
Step3:
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
= 1 / 699
= 1
So, Greatest Common Divisor of 238, 120, 283, 699 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 238, 120, 283, 699
The greatest common divisor of numbers 238, 120, 283, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 120, 283, 699 is 1.
1. What is the GCD of 238, 120, 283, 699?
GCD of given numbers 238, 120, 283, 699 is 1
2. How to calculate the greatest common divisor of 238, 120, 283, 699?
We can find the highest common divisor of 238, 120, 283, 699 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 238, 120, 283, 699 i.e 1.
3. How can I use the GCD of 238, 120, 283, 699Calculator?
Out the numbers 238, 120, 283, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.