Online GCD Calculator is useful to find the GCD of 100, 965, 408, 309 quickly. Get the easiest ways to solve the greatest common divisor of 100, 965, 408, 309 i.e 1 in different methods as follows.
Given Input numbers are 100, 965, 408, 309
In the factoring method, we have to find the divisors of all numbers
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 965 :
The positive integer divisors of 965 that completely divides 965 are.
1, 5, 193, 965
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
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 (100, 965, 408, 309) = 1.
Given numbers are 100, 965, 408, 309
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 965 are 5 x 193
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
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 100, 965, 408, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 965) = 19300
GCD(100, 965) = ( 100 x 965 ) / 19300
= 100 / 965
= 100
Step2:
LCM(5, 408) = 2040
GCD(5, 408) = ( 5 x 408 ) / 2040
= 5 / 408
= 5
Step3:
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
= 1 / 309
= 1
So, Greatest Common Divisor of 100, 965, 408, 309 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 965, 408, 309
The greatest common divisor of numbers 100, 965, 408, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 965, 408, 309 is 1.
1. What is the GCD of 100, 965, 408, 309?
GCD of given numbers 100, 965, 408, 309 is 1
2. How to calculate the greatest common divisor of 100, 965, 408, 309?
We can find the highest common divisor of 100, 965, 408, 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 100, 965, 408, 309 i.e 1.
3. How can I use the GCD of 100, 965, 408, 309Calculator?
Out the numbers 100, 965, 408, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.