Online GCD Calculator is useful to find the GCD of 117, 380, 912, 828 quickly. Get the easiest ways to solve the greatest common divisor of 117, 380, 912, 828 i.e 1 in different methods as follows.
Given Input numbers are 117, 380, 912, 828
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 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
GCD of numbers is the greatest common divisor
So, the GCD (117, 380, 912, 828) = 1.
Given numbers are 117, 380, 912, 828
The list of prime factors of all numbers are
Prime factors of 117 are 3 x 3 x 13
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 117, 380, 912, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(117, 380) = 44460
GCD(117, 380) = ( 117 x 380 ) / 44460
= 117 / 380
= 117
Step2:
LCM(1, 912) = 912
GCD(1, 912) = ( 1 x 912 ) / 912
= 1 / 912
= 1
Step3:
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
= 1 / 828
= 1
So, Greatest Common Divisor of 117, 380, 912, 828 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 117, 380, 912, 828
The greatest common divisor of numbers 117, 380, 912, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 380, 912, 828 is 1.
1. What is the GCD of 117, 380, 912, 828?
GCD of given numbers 117, 380, 912, 828 is 1
2. How to calculate the greatest common divisor of 117, 380, 912, 828?
We can find the highest common divisor of 117, 380, 912, 828 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, 380, 912, 828 i.e 1.
3. How can I use the GCD of 117, 380, 912, 828Calculator?
Out the numbers 117, 380, 912, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.