Online GCD Calculator is useful to find the GCD of 969, 289, 379, 372 quickly. Get the easiest ways to solve the greatest common divisor of 969, 289, 379, 372 i.e 1 in different methods as follows.
Given Input numbers are 969, 289, 379, 372
In the factoring method, we have to find the divisors of all numbers
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 379 :
The positive integer divisors of 379 that completely divides 379 are.
1, 379
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
GCD of numbers is the greatest common divisor
So, the GCD (969, 289, 379, 372) = 1.
Given numbers are 969, 289, 379, 372
The list of prime factors of all numbers are
Prime factors of 969 are 3 x 17 x 19
Prime factors of 289 are 17 x 17
Prime factors of 379 are 379
Prime factors of 372 are 2 x 2 x 3 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 969, 289, 379, 372
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(969, 289) = 16473
GCD(969, 289) = ( 969 x 289 ) / 16473
= 969 / 289
= 969
Step2:
LCM(17, 379) = 6443
GCD(17, 379) = ( 17 x 379 ) / 6443
= 17 / 379
= 17
Step3:
LCM(1, 372) = 372
GCD(1, 372) = ( 1 x 372 ) / 372
= 1 / 372
= 1
So, Greatest Common Divisor of 969, 289, 379, 372 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 969, 289, 379, 372
The greatest common divisor of numbers 969, 289, 379, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 289, 379, 372 is 1.
1. What is the GCD of 969, 289, 379, 372?
GCD of given numbers 969, 289, 379, 372 is 1
2. How to calculate the greatest common divisor of 969, 289, 379, 372?
We can find the highest common divisor of 969, 289, 379, 372 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 969, 289, 379, 372 i.e 1.
3. How can I use the GCD of 969, 289, 379, 372Calculator?
Out the numbers 969, 289, 379, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.