Online GCD Calculator is useful to find the GCD of 108, 399, 553, 172 quickly. Get the easiest ways to solve the greatest common divisor of 108, 399, 553, 172 i.e 1 in different methods as follows.
Given Input numbers are 108, 399, 553, 172
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 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 553 :
The positive integer divisors of 553 that completely divides 553 are.
1, 7, 79, 553
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (108, 399, 553, 172) = 1.
Given numbers are 108, 399, 553, 172
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 399 are 3 x 7 x 19
Prime factors of 553 are 7 x 79
Prime factors of 172 are 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 108, 399, 553, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 399) = 14364
GCD(108, 399) = ( 108 x 399 ) / 14364
= 108 / 399
= 108
Step2:
LCM(3, 553) = 1659
GCD(3, 553) = ( 3 x 553 ) / 1659
= 3 / 553
= 3
Step3:
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
= 1 / 172
= 1
So, Greatest Common Divisor of 108, 399, 553, 172 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 399, 553, 172
The greatest common divisor of numbers 108, 399, 553, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 399, 553, 172 is 1.
1. What is the GCD of 108, 399, 553, 172?
GCD of given numbers 108, 399, 553, 172 is 1
2. How to calculate the greatest common divisor of 108, 399, 553, 172?
We can find the highest common divisor of 108, 399, 553, 172 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, 399, 553, 172 i.e 1.
3. How can I use the GCD of 108, 399, 553, 172Calculator?
Out the numbers 108, 399, 553, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.