Online GCD Calculator is useful to find the GCD of 988, 954, 771, 309 quickly. Get the easiest ways to solve the greatest common divisor of 988, 954, 771, 309 i.e 1 in different methods as follows.
Given Input numbers are 988, 954, 771, 309
In the factoring method, we have to find the divisors of all numbers
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
GCD of numbers is the greatest common divisor
So, the GCD (988, 954, 771, 309) = 1.
Given numbers are 988, 954, 771, 309
The list of prime factors of all numbers are
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 954 are 2 x 3 x 3 x 53
Prime factors of 771 are 3 x 257
Prime factors of 309 are 3 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 988, 954, 771, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(988, 954) = 471276
GCD(988, 954) = ( 988 x 954 ) / 471276
= 988 / 954
= 988
Step2:
LCM(2, 771) = 1542
GCD(2, 771) = ( 2 x 771 ) / 1542
= 2 / 771
= 2
Step3:
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
= 1 / 309
= 1
So, Greatest Common Divisor of 988, 954, 771, 309 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 988, 954, 771, 309
The greatest common divisor of numbers 988, 954, 771, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 954, 771, 309 is 1.
1. What is the GCD of 988, 954, 771, 309?
GCD of given numbers 988, 954, 771, 309 is 1
2. How to calculate the greatest common divisor of 988, 954, 771, 309?
We can find the highest common divisor of 988, 954, 771, 309 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 988, 954, 771, 309 i.e 1.
3. How can I use the GCD of 988, 954, 771, 309Calculator?
Out the numbers 988, 954, 771, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.