Online GCD Calculator is useful to find the GCD of 680, 422, 294, 622 quickly. Get the easiest ways to solve the greatest common divisor of 680, 422, 294, 622 i.e 2 in different methods as follows.
Given Input numbers are 680, 422, 294, 622
In the factoring method, we have to find the divisors of all numbers
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 622 :
The positive integer divisors of 622 that completely divides 622 are.
1, 2, 311, 622
GCD of numbers is the greatest common divisor
So, the GCD (680, 422, 294, 622) = 2.
Given numbers are 680, 422, 294, 622
The list of prime factors of all numbers are
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 422 are 2 x 211
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 622 are 2 x 311
The highest common occurrence is 21
Therefore, GCD of 680, 422, 294, 622 is 2.
Given numbers are 680, 422, 294, 622
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 422) = 143480
GCD(680, 422) = ( 680 x 422 ) / 143480
= 680 / 422
= 680
Step2:
LCM(2, 294) = 294
GCD(2, 294) = ( 2 x 294 ) / 294
= 2 / 294
= 2
Step3:
LCM(2, 622) = 622
GCD(2, 622) = ( 2 x 622 ) / 622
= 2 / 622
= 2
So, Greatest Common Divisor of 680, 422, 294, 622 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 422, 294, 622
The greatest common divisor of numbers 680, 422, 294, 622 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 422, 294, 622 is 2.
1. What is the GCD of 680, 422, 294, 622?
GCD of given numbers 680, 422, 294, 622 is 2
2. How to calculate the greatest common divisor of 680, 422, 294, 622?
We can find the highest common divisor of 680, 422, 294, 622 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 680, 422, 294, 622 i.e 2.
3. How can I use the GCD of 680, 422, 294, 622Calculator?
Out the numbers 680, 422, 294, 622 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.