Online GCD Calculator is useful to find the GCD of 981, 312, 824, 427 quickly. Get the easiest ways to solve the greatest common divisor of 981, 312, 824, 427 i.e 1 in different methods as follows.
Given Input numbers are 981, 312, 824, 427
In the factoring method, we have to find the divisors of all numbers
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 427 :
The positive integer divisors of 427 that completely divides 427 are.
1, 7, 61, 427
GCD of numbers is the greatest common divisor
So, the GCD (981, 312, 824, 427) = 1.
Given numbers are 981, 312, 824, 427
The list of prime factors of all numbers are
Prime factors of 981 are 3 x 3 x 109
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 427 are 7 x 61
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 981, 312, 824, 427
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(981, 312) = 102024
GCD(981, 312) = ( 981 x 312 ) / 102024
= 981 / 312
= 981
Step2:
LCM(3, 824) = 2472
GCD(3, 824) = ( 3 x 824 ) / 2472
= 3 / 824
= 3
Step3:
LCM(1, 427) = 427
GCD(1, 427) = ( 1 x 427 ) / 427
= 1 / 427
= 1
So, Greatest Common Divisor of 981, 312, 824, 427 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 981, 312, 824, 427
The greatest common divisor of numbers 981, 312, 824, 427 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 312, 824, 427 is 1.
1. What is the GCD of 981, 312, 824, 427?
GCD of given numbers 981, 312, 824, 427 is 1
2. How to calculate the greatest common divisor of 981, 312, 824, 427?
We can find the highest common divisor of 981, 312, 824, 427 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 981, 312, 824, 427 i.e 1.
3. How can I use the GCD of 981, 312, 824, 427Calculator?
Out the numbers 981, 312, 824, 427 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.