Online GCD Calculator is useful to find the GCD of 134, 682, 226, 142 quickly. Get the easiest ways to solve the greatest common divisor of 134, 682, 226, 142 i.e 2 in different methods as follows.
Given Input numbers are 134, 682, 226, 142
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 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 226 :
The positive integer divisors of 226 that completely divides 226 are.
1, 2, 113, 226
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (134, 682, 226, 142) = 2.
Given numbers are 134, 682, 226, 142
The list of prime factors of all numbers are
Prime factors of 134 are 2 x 67
Prime factors of 682 are 2 x 11 x 31
Prime factors of 226 are 2 x 113
Prime factors of 142 are 2 x 71
The highest common occurrence is 21
Therefore, GCD of 134, 682, 226, 142 is 2.
Given numbers are 134, 682, 226, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(134, 682) = 45694
GCD(134, 682) = ( 134 x 682 ) / 45694
= 134 / 682
= 134
Step2:
LCM(2, 226) = 226
GCD(2, 226) = ( 2 x 226 ) / 226
= 2 / 226
= 2
Step3:
LCM(2, 142) = 142
GCD(2, 142) = ( 2 x 142 ) / 142
= 2 / 142
= 2
So, Greatest Common Divisor of 134, 682, 226, 142 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 134, 682, 226, 142
The greatest common divisor of numbers 134, 682, 226, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 682, 226, 142 is 2.
1. What is the GCD of 134, 682, 226, 142?
GCD of given numbers 134, 682, 226, 142 is 2
2. How to calculate the greatest common divisor of 134, 682, 226, 142?
We can find the highest common divisor of 134, 682, 226, 142 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, 682, 226, 142 i.e 2.
3. How can I use the GCD of 134, 682, 226, 142Calculator?
Out the numbers 134, 682, 226, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.