Online GCD Calculator is useful to find the GCD of 196, 836, 742, 894 quickly. Get the easiest ways to solve the greatest common divisor of 196, 836, 742, 894 i.e 2 in different methods as follows.
Given Input numbers are 196, 836, 742, 894
In the factoring method, we have to find the divisors of all numbers
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 836 :
The positive integer divisors of 836 that completely divides 836 are.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
GCD of numbers is the greatest common divisor
So, the GCD (196, 836, 742, 894) = 2.
Given numbers are 196, 836, 742, 894
The list of prime factors of all numbers are
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 836 are 2 x 2 x 11 x 19
Prime factors of 742 are 2 x 7 x 53
Prime factors of 894 are 2 x 3 x 149
The highest common occurrence is 21
Therefore, GCD of 196, 836, 742, 894 is 2.
Given numbers are 196, 836, 742, 894
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(196, 836) = 40964
GCD(196, 836) = ( 196 x 836 ) / 40964
= 196 / 836
= 196
Step2:
LCM(4, 742) = 1484
GCD(4, 742) = ( 4 x 742 ) / 1484
= 4 / 742
= 4
Step3:
LCM(2, 894) = 894
GCD(2, 894) = ( 2 x 894 ) / 894
= 2 / 894
= 2
So, Greatest Common Divisor of 196, 836, 742, 894 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 196, 836, 742, 894
The greatest common divisor of numbers 196, 836, 742, 894 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 836, 742, 894 is 2.
1. What is the GCD of 196, 836, 742, 894?
GCD of given numbers 196, 836, 742, 894 is 2
2. How to calculate the greatest common divisor of 196, 836, 742, 894?
We can find the highest common divisor of 196, 836, 742, 894 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 196, 836, 742, 894 i.e 2.
3. How can I use the GCD of 196, 836, 742, 894Calculator?
Out the numbers 196, 836, 742, 894 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.