Online GCD Calculator is useful to find the GCD of 972, 394, 303, 119 quickly. Get the easiest ways to solve the greatest common divisor of 972, 394, 303, 119 i.e 1 in different methods as follows.
Given Input numbers are 972, 394, 303, 119
In the factoring method, we have to find the divisors of all numbers
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
Divisors of 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
Divisors of 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
GCD of numbers is the greatest common divisor
So, the GCD (972, 394, 303, 119) = 1.
Given numbers are 972, 394, 303, 119
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 394 are 2 x 197
Prime factors of 303 are 3 x 101
Prime factors of 119 are 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 394, 303, 119
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 394) = 191484
GCD(972, 394) = ( 972 x 394 ) / 191484
= 972 / 394
= 972
Step2:
LCM(2, 303) = 606
GCD(2, 303) = ( 2 x 303 ) / 606
= 2 / 303
= 2
Step3:
LCM(1, 119) = 119
GCD(1, 119) = ( 1 x 119 ) / 119
= 1 / 119
= 1
So, Greatest Common Divisor of 972, 394, 303, 119 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 394, 303, 119
The greatest common divisor of numbers 972, 394, 303, 119 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 394, 303, 119 is 1.
1. What is the GCD of 972, 394, 303, 119?
GCD of given numbers 972, 394, 303, 119 is 1
2. How to calculate the greatest common divisor of 972, 394, 303, 119?
We can find the highest common divisor of 972, 394, 303, 119 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 972, 394, 303, 119 i.e 1.
3. How can I use the GCD of 972, 394, 303, 119Calculator?
Out the numbers 972, 394, 303, 119 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.