Online GCD Calculator is useful to find the GCD of 536, 998, 894, 358 quickly. Get the easiest ways to solve the greatest common divisor of 536, 998, 894, 358 i.e 2 in different methods as follows.
Given Input numbers are 536, 998, 894, 358
In the factoring method, we have to find the divisors of all numbers
Divisors of 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
GCD of numbers is the greatest common divisor
So, the GCD (536, 998, 894, 358) = 2.
Given numbers are 536, 998, 894, 358
The list of prime factors of all numbers are
Prime factors of 536 are 2 x 2 x 2 x 67
Prime factors of 998 are 2 x 499
Prime factors of 894 are 2 x 3 x 149
Prime factors of 358 are 2 x 179
The highest common occurrence is 21
Therefore, GCD of 536, 998, 894, 358 is 2.
Given numbers are 536, 998, 894, 358
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(536, 998) = 267464
GCD(536, 998) = ( 536 x 998 ) / 267464
= 536 / 998
= 536
Step2:
LCM(2, 894) = 894
GCD(2, 894) = ( 2 x 894 ) / 894
= 2 / 894
= 2
Step3:
LCM(2, 358) = 358
GCD(2, 358) = ( 2 x 358 ) / 358
= 2 / 358
= 2
So, Greatest Common Divisor of 536, 998, 894, 358 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 536, 998, 894, 358
The greatest common divisor of numbers 536, 998, 894, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 998, 894, 358 is 2.
1. What is the GCD of 536, 998, 894, 358?
GCD of given numbers 536, 998, 894, 358 is 2
2. How to calculate the greatest common divisor of 536, 998, 894, 358?
We can find the highest common divisor of 536, 998, 894, 358 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 536, 998, 894, 358 i.e 2.
3. How can I use the GCD of 536, 998, 894, 358Calculator?
Out the numbers 536, 998, 894, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.