Online GCD Calculator is useful to find the GCD of 117, 971, 100, 384 quickly. Get the easiest ways to solve the greatest common divisor of 117, 971, 100, 384 i.e 1 in different methods as follows.
Given Input numbers are 117, 971, 100, 384
In the factoring method, we have to find the divisors of all numbers
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
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 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
GCD of numbers is the greatest common divisor
So, the GCD (117, 971, 100, 384) = 1.
Given numbers are 117, 971, 100, 384
The list of prime factors of all numbers are
Prime factors of 117 are 3 x 3 x 13
Prime factors of 971 are 971
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 117, 971, 100, 384
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(117, 971) = 113607
GCD(117, 971) = ( 117 x 971 ) / 113607
= 117 / 971
= 117
Step2:
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
= 1 / 100
= 1
Step3:
LCM(1, 384) = 384
GCD(1, 384) = ( 1 x 384 ) / 384
= 1 / 384
= 1
So, Greatest Common Divisor of 117, 971, 100, 384 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 117, 971, 100, 384
The greatest common divisor of numbers 117, 971, 100, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 971, 100, 384 is 1.
1. What is the GCD of 117, 971, 100, 384?
GCD of given numbers 117, 971, 100, 384 is 1
2. How to calculate the greatest common divisor of 117, 971, 100, 384?
We can find the highest common divisor of 117, 971, 100, 384 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 117, 971, 100, 384 i.e 1.
3. How can I use the GCD of 117, 971, 100, 384Calculator?
Out the numbers 117, 971, 100, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.