Online GCD Calculator is useful to find the GCD of 706, 956, 394, 402 quickly. Get the easiest ways to solve the greatest common divisor of 706, 956, 394, 402 i.e 2 in different methods as follows.
Given Input numbers are 706, 956, 394, 402
In the factoring method, we have to find the divisors of all numbers
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
GCD of numbers is the greatest common divisor
So, the GCD (706, 956, 394, 402) = 2.
Given numbers are 706, 956, 394, 402
The list of prime factors of all numbers are
Prime factors of 706 are 2 x 353
Prime factors of 956 are 2 x 2 x 239
Prime factors of 394 are 2 x 197
Prime factors of 402 are 2 x 3 x 67
The highest common occurrence is 21
Therefore, GCD of 706, 956, 394, 402 is 2.
Given numbers are 706, 956, 394, 402
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(706, 956) = 337468
GCD(706, 956) = ( 706 x 956 ) / 337468
= 706 / 956
= 706
Step2:
LCM(2, 394) = 394
GCD(2, 394) = ( 2 x 394 ) / 394
= 2 / 394
= 2
Step3:
LCM(2, 402) = 402
GCD(2, 402) = ( 2 x 402 ) / 402
= 2 / 402
= 2
So, Greatest Common Divisor of 706, 956, 394, 402 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 706, 956, 394, 402
The greatest common divisor of numbers 706, 956, 394, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 956, 394, 402 is 2.
1. What is the GCD of 706, 956, 394, 402?
GCD of given numbers 706, 956, 394, 402 is 2
2. How to calculate the greatest common divisor of 706, 956, 394, 402?
We can find the highest common divisor of 706, 956, 394, 402 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 706, 956, 394, 402 i.e 2.
3. How can I use the GCD of 706, 956, 394, 402Calculator?
Out the numbers 706, 956, 394, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.