Online GCD Calculator is useful to find the GCD of 119, 920, 361, 588 quickly. Get the easiest ways to solve the greatest common divisor of 119, 920, 361, 588 i.e 1 in different methods as follows.
Given Input numbers are 119, 920, 361, 588
In the factoring method, we have to find the divisors of all numbers
Divisors of 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
GCD of numbers is the greatest common divisor
So, the GCD (119, 920, 361, 588) = 1.
Given numbers are 119, 920, 361, 588
The list of prime factors of all numbers are
Prime factors of 119 are 7 x 17
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 361 are 19 x 19
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 119, 920, 361, 588
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(119, 920) = 109480
GCD(119, 920) = ( 119 x 920 ) / 109480
= 119 / 920
= 119
Step2:
LCM(1, 361) = 361
GCD(1, 361) = ( 1 x 361 ) / 361
= 1 / 361
= 1
Step3:
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
= 1 / 588
= 1
So, Greatest Common Divisor of 119, 920, 361, 588 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 119, 920, 361, 588
The greatest common divisor of numbers 119, 920, 361, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 119, 920, 361, 588 is 1.
1. What is the GCD of 119, 920, 361, 588?
GCD of given numbers 119, 920, 361, 588 is 1
2. How to calculate the greatest common divisor of 119, 920, 361, 588?
We can find the highest common divisor of 119, 920, 361, 588 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 119, 920, 361, 588 i.e 1.
3. How can I use the GCD of 119, 920, 361, 588Calculator?
Out the numbers 119, 920, 361, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.