Online GCD Calculator is useful to find the GCD of 842, 430, 394, 742 quickly. Get the easiest ways to solve the greatest common divisor of 842, 430, 394, 742 i.e 2 in different methods as follows.
Given Input numbers are 842, 430, 394, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 430 :
The positive integer divisors of 430 that completely divides 430 are.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (842, 430, 394, 742) = 2.
Given numbers are 842, 430, 394, 742
The list of prime factors of all numbers are
Prime factors of 842 are 2 x 421
Prime factors of 430 are 2 x 5 x 43
Prime factors of 394 are 2 x 197
Prime factors of 742 are 2 x 7 x 53
The highest common occurrence is 21
Therefore, GCD of 842, 430, 394, 742 is 2.
Given numbers are 842, 430, 394, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(842, 430) = 181030
GCD(842, 430) = ( 842 x 430 ) / 181030
= 842 / 430
= 842
Step2:
LCM(2, 394) = 394
GCD(2, 394) = ( 2 x 394 ) / 394
= 2 / 394
= 2
Step3:
LCM(2, 742) = 742
GCD(2, 742) = ( 2 x 742 ) / 742
= 2 / 742
= 2
So, Greatest Common Divisor of 842, 430, 394, 742 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 842, 430, 394, 742
The greatest common divisor of numbers 842, 430, 394, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 430, 394, 742 is 2.
1. What is the GCD of 842, 430, 394, 742?
GCD of given numbers 842, 430, 394, 742 is 2
2. How to calculate the greatest common divisor of 842, 430, 394, 742?
We can find the highest common divisor of 842, 430, 394, 742 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 842, 430, 394, 742 i.e 2.
3. How can I use the GCD of 842, 430, 394, 742Calculator?
Out the numbers 842, 430, 394, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.