Online GCD Calculator is useful to find the GCD of 322, 392, 740, 798 quickly. Get the easiest ways to solve the greatest common divisor of 322, 392, 740, 798 i.e 2 in different methods as follows.
Given Input numbers are 322, 392, 740, 798
In the factoring method, we have to find the divisors of all numbers
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
GCD of numbers is the greatest common divisor
So, the GCD (322, 392, 740, 798) = 2.
Given numbers are 322, 392, 740, 798
The list of prime factors of all numbers are
Prime factors of 322 are 2 x 7 x 23
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 798 are 2 x 3 x 7 x 19
The highest common occurrence is 21
Therefore, GCD of 322, 392, 740, 798 is 2.
Given numbers are 322, 392, 740, 798
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(322, 392) = 9016
GCD(322, 392) = ( 322 x 392 ) / 9016
= 322 / 392
= 322
Step2:
LCM(14, 740) = 5180
GCD(14, 740) = ( 14 x 740 ) / 5180
= 14 / 740
= 14
Step3:
LCM(2, 798) = 798
GCD(2, 798) = ( 2 x 798 ) / 798
= 2 / 798
= 2
So, Greatest Common Divisor of 322, 392, 740, 798 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 322, 392, 740, 798
The greatest common divisor of numbers 322, 392, 740, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 392, 740, 798 is 2.
1. What is the GCD of 322, 392, 740, 798?
GCD of given numbers 322, 392, 740, 798 is 2
2. How to calculate the greatest common divisor of 322, 392, 740, 798?
We can find the highest common divisor of 322, 392, 740, 798 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 322, 392, 740, 798 i.e 2.
3. How can I use the GCD of 322, 392, 740, 798Calculator?
Out the numbers 322, 392, 740, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.