Online GCD Calculator is useful to find the GCD of 774, 832, 358, 398 quickly. Get the easiest ways to solve the greatest common divisor of 774, 832, 358, 398 i.e 2 in different methods as follows.
Given Input numbers are 774, 832, 358, 398
In the factoring method, we have to find the divisors of all numbers
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
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 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
GCD of numbers is the greatest common divisor
So, the GCD (774, 832, 358, 398) = 2.
Given numbers are 774, 832, 358, 398
The list of prime factors of all numbers are
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 358 are 2 x 179
Prime factors of 398 are 2 x 199
The highest common occurrence is 21
Therefore, GCD of 774, 832, 358, 398 is 2.
Given numbers are 774, 832, 358, 398
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(774, 832) = 321984
GCD(774, 832) = ( 774 x 832 ) / 321984
= 774 / 832
= 774
Step2:
LCM(2, 358) = 358
GCD(2, 358) = ( 2 x 358 ) / 358
= 2 / 358
= 2
Step3:
LCM(2, 398) = 398
GCD(2, 398) = ( 2 x 398 ) / 398
= 2 / 398
= 2
So, Greatest Common Divisor of 774, 832, 358, 398 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 774, 832, 358, 398
The greatest common divisor of numbers 774, 832, 358, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 832, 358, 398 is 2.
1. What is the GCD of 774, 832, 358, 398?
GCD of given numbers 774, 832, 358, 398 is 2
2. How to calculate the greatest common divisor of 774, 832, 358, 398?
We can find the highest common divisor of 774, 832, 358, 398 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 774, 832, 358, 398 i.e 2.
3. How can I use the GCD of 774, 832, 358, 398Calculator?
Out the numbers 774, 832, 358, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.