Online GCD Calculator is useful to find the GCD of 398, 708, 936, 924 quickly. Get the easiest ways to solve the greatest common divisor of 398, 708, 936, 924 i.e 2 in different methods as follows.
Given Input numbers are 398, 708, 936, 924
In the factoring method, we have to find the divisors of all numbers
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
GCD of numbers is the greatest common divisor
So, the GCD (398, 708, 936, 924) = 2.
Given numbers are 398, 708, 936, 924
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 398, 708, 936, 924 is 2.
Given numbers are 398, 708, 936, 924
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 708) = 140892
GCD(398, 708) = ( 398 x 708 ) / 140892
= 398 / 708
= 398
Step2:
LCM(2, 936) = 936
GCD(2, 936) = ( 2 x 936 ) / 936
= 2 / 936
= 2
Step3:
LCM(2, 924) = 924
GCD(2, 924) = ( 2 x 924 ) / 924
= 2 / 924
= 2
So, Greatest Common Divisor of 398, 708, 936, 924 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 708, 936, 924
The greatest common divisor of numbers 398, 708, 936, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 708, 936, 924 is 2.
1. What is the GCD of 398, 708, 936, 924?
GCD of given numbers 398, 708, 936, 924 is 2
2. How to calculate the greatest common divisor of 398, 708, 936, 924?
We can find the highest common divisor of 398, 708, 936, 924 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 398, 708, 936, 924 i.e 2.
3. How can I use the GCD of 398, 708, 936, 924Calculator?
Out the numbers 398, 708, 936, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.