Online GCD Calculator is useful to find the GCD of 134, 194, 642, 404 quickly. Get the easiest ways to solve the greatest common divisor of 134, 194, 642, 404 i.e 2 in different methods as follows.
Given Input numbers are 134, 194, 642, 404
In the factoring method, we have to find the divisors of all numbers
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 194 :
The positive integer divisors of 194 that completely divides 194 are.
1, 2, 97, 194
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
GCD of numbers is the greatest common divisor
So, the GCD (134, 194, 642, 404) = 2.
Given numbers are 134, 194, 642, 404
The list of prime factors of all numbers are
Prime factors of 134 are 2 x 67
Prime factors of 194 are 2 x 97
Prime factors of 642 are 2 x 3 x 107
Prime factors of 404 are 2 x 2 x 101
The highest common occurrence is 21
Therefore, GCD of 134, 194, 642, 404 is 2.
Given numbers are 134, 194, 642, 404
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(134, 194) = 12998
GCD(134, 194) = ( 134 x 194 ) / 12998
= 134 / 194
= 134
Step2:
LCM(2, 642) = 642
GCD(2, 642) = ( 2 x 642 ) / 642
= 2 / 642
= 2
Step3:
LCM(2, 404) = 404
GCD(2, 404) = ( 2 x 404 ) / 404
= 2 / 404
= 2
So, Greatest Common Divisor of 134, 194, 642, 404 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 134, 194, 642, 404
The greatest common divisor of numbers 134, 194, 642, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 194, 642, 404 is 2.
1. What is the GCD of 134, 194, 642, 404?
GCD of given numbers 134, 194, 642, 404 is 2
2. How to calculate the greatest common divisor of 134, 194, 642, 404?
We can find the highest common divisor of 134, 194, 642, 404 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 134, 194, 642, 404 i.e 2.
3. How can I use the GCD of 134, 194, 642, 404Calculator?
Out the numbers 134, 194, 642, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.