Online GCD Calculator is useful to find the GCD of 294, 972, 399, 396 quickly. Get the easiest ways to solve the greatest common divisor of 294, 972, 399, 396 i.e 3 in different methods as follows.
Given Input numbers are 294, 972, 399, 396
In the factoring method, we have to find the divisors of all numbers
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
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 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
GCD of numbers is the greatest common divisor
So, the GCD (294, 972, 399, 396) = 3.
Given numbers are 294, 972, 399, 396
The list of prime factors of all numbers are
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 399 are 3 x 7 x 19
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 294, 972, 399, 396 is 3.
Given numbers are 294, 972, 399, 396
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(294, 972) = 47628
GCD(294, 972) = ( 294 x 972 ) / 47628
= 294 / 972
= 294
Step2:
LCM(6, 399) = 798
GCD(6, 399) = ( 6 x 399 ) / 798
= 6 / 399
= 6
Step3:
LCM(3, 396) = 396
GCD(3, 396) = ( 3 x 396 ) / 396
= 3 / 396
= 3
So, Greatest Common Divisor of 294, 972, 399, 396 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 294, 972, 399, 396
The greatest common divisor of numbers 294, 972, 399, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 294, 972, 399, 396 is 3.
1. What is the GCD of 294, 972, 399, 396?
GCD of given numbers 294, 972, 399, 396 is 3
2. How to calculate the greatest common divisor of 294, 972, 399, 396?
We can find the highest common divisor of 294, 972, 399, 396 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 294, 972, 399, 396 i.e 3.
3. How can I use the GCD of 294, 972, 399, 396Calculator?
Out the numbers 294, 972, 399, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.