Online GCD Calculator is useful to find the GCD of 398, 536, 832, 942 quickly. Get the easiest ways to solve the greatest common divisor of 398, 536, 832, 942 i.e 2 in different methods as follows.
Given Input numbers are 398, 536, 832, 942
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 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
GCD of numbers is the greatest common divisor
So, the GCD (398, 536, 832, 942) = 2.
Given numbers are 398, 536, 832, 942
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 536 are 2 x 2 x 2 x 67
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 942 are 2 x 3 x 157
The highest common occurrence is 21
Therefore, GCD of 398, 536, 832, 942 is 2.
Given numbers are 398, 536, 832, 942
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 536) = 106664
GCD(398, 536) = ( 398 x 536 ) / 106664
= 398 / 536
= 398
Step2:
LCM(2, 832) = 832
GCD(2, 832) = ( 2 x 832 ) / 832
= 2 / 832
= 2
Step3:
LCM(2, 942) = 942
GCD(2, 942) = ( 2 x 942 ) / 942
= 2 / 942
= 2
So, Greatest Common Divisor of 398, 536, 832, 942 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 536, 832, 942
The greatest common divisor of numbers 398, 536, 832, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 536, 832, 942 is 2.
1. What is the GCD of 398, 536, 832, 942?
GCD of given numbers 398, 536, 832, 942 is 2
2. How to calculate the greatest common divisor of 398, 536, 832, 942?
We can find the highest common divisor of 398, 536, 832, 942 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, 536, 832, 942 i.e 2.
3. How can I use the GCD of 398, 536, 832, 942Calculator?
Out the numbers 398, 536, 832, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.