Online GCD Calculator is useful to find the GCD of 134, 642, 730, 122 quickly. Get the easiest ways to solve the greatest common divisor of 134, 642, 730, 122 i.e 2 in different methods as follows.
Given Input numbers are 134, 642, 730, 122
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 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
GCD of numbers is the greatest common divisor
So, the GCD (134, 642, 730, 122) = 2.
Given numbers are 134, 642, 730, 122
The list of prime factors of all numbers are
Prime factors of 134 are 2 x 67
Prime factors of 642 are 2 x 3 x 107
Prime factors of 730 are 2 x 5 x 73
Prime factors of 122 are 2 x 61
The highest common occurrence is 21
Therefore, GCD of 134, 642, 730, 122 is 2.
Given numbers are 134, 642, 730, 122
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(134, 642) = 43014
GCD(134, 642) = ( 134 x 642 ) / 43014
= 134 / 642
= 134
Step2:
LCM(2, 730) = 730
GCD(2, 730) = ( 2 x 730 ) / 730
= 2 / 730
= 2
Step3:
LCM(2, 122) = 122
GCD(2, 122) = ( 2 x 122 ) / 122
= 2 / 122
= 2
So, Greatest Common Divisor of 134, 642, 730, 122 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 134, 642, 730, 122
The greatest common divisor of numbers 134, 642, 730, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 642, 730, 122 is 2.
1. What is the GCD of 134, 642, 730, 122?
GCD of given numbers 134, 642, 730, 122 is 2
2. How to calculate the greatest common divisor of 134, 642, 730, 122?
We can find the highest common divisor of 134, 642, 730, 122 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, 642, 730, 122 i.e 2.
3. How can I use the GCD of 134, 642, 730, 122Calculator?
Out the numbers 134, 642, 730, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.