Online GCD Calculator is useful to find the GCD of 108, 412, 704, 921 quickly. Get the easiest ways to solve the greatest common divisor of 108, 412, 704, 921 i.e 1 in different methods as follows.
Given Input numbers are 108, 412, 704, 921
In the factoring method, we have to find the divisors of all numbers
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
GCD of numbers is the greatest common divisor
So, the GCD (108, 412, 704, 921) = 1.
Given numbers are 108, 412, 704, 921
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 412 are 2 x 2 x 103
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 921 are 3 x 307
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 108, 412, 704, 921
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 412) = 11124
GCD(108, 412) = ( 108 x 412 ) / 11124
= 108 / 412
= 108
Step2:
LCM(4, 704) = 704
GCD(4, 704) = ( 4 x 704 ) / 704
= 4 / 704
= 4
Step3:
LCM(4, 921) = 3684
GCD(4, 921) = ( 4 x 921 ) / 3684
= 4 / 921
= 4
So, Greatest Common Divisor of 108, 412, 704, 921 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 412, 704, 921
The greatest common divisor of numbers 108, 412, 704, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 412, 704, 921 is 1.
1. What is the GCD of 108, 412, 704, 921?
GCD of given numbers 108, 412, 704, 921 is 1
2. How to calculate the greatest common divisor of 108, 412, 704, 921?
We can find the highest common divisor of 108, 412, 704, 921 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 108, 412, 704, 921 i.e 1.
3. How can I use the GCD of 108, 412, 704, 921Calculator?
Out the numbers 108, 412, 704, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.