Online GCD Calculator is useful to find the GCD of 873, 972, 408 quickly. Get the easiest ways to solve the greatest common divisor of 873, 972, 408 i.e 3 in different methods as follows.
Given Input numbers are 873, 972, 408
In the factoring method, we have to find the divisors of all numbers
Divisors of 873 :
The positive integer divisors of 873 that completely divides 873 are.
1, 3, 9, 97, 291, 873
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
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
GCD of numbers is the greatest common divisor
So, the GCD (873, 972, 408) = 3.
Given numbers are 873, 972, 408
The list of prime factors of all numbers are
Prime factors of 873 are 3 x 3 x 97
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 873, 972, 408 is 3.
Given numbers are 873, 972, 408
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(873, 972) = 94284
GCD(873, 972) = ( 873 x 972 ) / 94284
= 873 / 972
= 873
Step2:
LCM(9, 408) = 1224
GCD(9, 408) = ( 9 x 408 ) / 1224
= 9 / 408
= 9
So, Greatest Common Divisor of 873, 972, 408 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 873, 972, 408
The greatest common divisor of numbers 873, 972, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 972, 408 is 3.
1. What is the GCD of 873, 972, 408?
GCD of given numbers 873, 972, 408 is 3
2. How to calculate the greatest common divisor of 873, 972, 408?
We can find the highest common divisor of 873, 972, 408 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 873, 972, 408 i.e 3.
3. How can I use the GCD of 873, 972, 408Calculator?
Out the numbers 873, 972, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.