Online GCD Calculator is useful to find the GCD of 134, 716, 622, 820 quickly. Get the easiest ways to solve the greatest common divisor of 134, 716, 622, 820 i.e 2 in different methods as follows.
Given Input numbers are 134, 716, 622, 820
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 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 622 :
The positive integer divisors of 622 that completely divides 622 are.
1, 2, 311, 622
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
GCD of numbers is the greatest common divisor
So, the GCD (134, 716, 622, 820) = 2.
Given numbers are 134, 716, 622, 820
The list of prime factors of all numbers are
Prime factors of 134 are 2 x 67
Prime factors of 716 are 2 x 2 x 179
Prime factors of 622 are 2 x 311
Prime factors of 820 are 2 x 2 x 5 x 41
The highest common occurrence is 21
Therefore, GCD of 134, 716, 622, 820 is 2.
Given numbers are 134, 716, 622, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(134, 716) = 47972
GCD(134, 716) = ( 134 x 716 ) / 47972
= 134 / 716
= 134
Step2:
LCM(2, 622) = 622
GCD(2, 622) = ( 2 x 622 ) / 622
= 2 / 622
= 2
Step3:
LCM(2, 820) = 820
GCD(2, 820) = ( 2 x 820 ) / 820
= 2 / 820
= 2
So, Greatest Common Divisor of 134, 716, 622, 820 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 134, 716, 622, 820
The greatest common divisor of numbers 134, 716, 622, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 716, 622, 820 is 2.
1. What is the GCD of 134, 716, 622, 820?
GCD of given numbers 134, 716, 622, 820 is 2
2. How to calculate the greatest common divisor of 134, 716, 622, 820?
We can find the highest common divisor of 134, 716, 622, 820 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, 716, 622, 820 i.e 2.
3. How can I use the GCD of 134, 716, 622, 820Calculator?
Out the numbers 134, 716, 622, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.