Online GCD Calculator is useful to find the GCD of 696, 706, 590, 382 quickly. Get the easiest ways to solve the greatest common divisor of 696, 706, 590, 382 i.e 2 in different methods as follows.
Given Input numbers are 696, 706, 590, 382
In the factoring method, we have to find the divisors of all numbers
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
GCD of numbers is the greatest common divisor
So, the GCD (696, 706, 590, 382) = 2.
Given numbers are 696, 706, 590, 382
The list of prime factors of all numbers are
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 706 are 2 x 353
Prime factors of 590 are 2 x 5 x 59
Prime factors of 382 are 2 x 191
The highest common occurrence is 21
Therefore, GCD of 696, 706, 590, 382 is 2.
Given numbers are 696, 706, 590, 382
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(696, 706) = 245688
GCD(696, 706) = ( 696 x 706 ) / 245688
= 696 / 706
= 696
Step2:
LCM(2, 590) = 590
GCD(2, 590) = ( 2 x 590 ) / 590
= 2 / 590
= 2
Step3:
LCM(2, 382) = 382
GCD(2, 382) = ( 2 x 382 ) / 382
= 2 / 382
= 2
So, Greatest Common Divisor of 696, 706, 590, 382 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 696, 706, 590, 382
The greatest common divisor of numbers 696, 706, 590, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 706, 590, 382 is 2.
1. What is the GCD of 696, 706, 590, 382?
GCD of given numbers 696, 706, 590, 382 is 2
2. How to calculate the greatest common divisor of 696, 706, 590, 382?
We can find the highest common divisor of 696, 706, 590, 382 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 696, 706, 590, 382 i.e 2.
3. How can I use the GCD of 696, 706, 590, 382Calculator?
Out the numbers 696, 706, 590, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.