Online GCD Calculator is useful to find the GCD of 422, 698, 474, 968 quickly. Get the easiest ways to solve the greatest common divisor of 422, 698, 474, 968 i.e 2 in different methods as follows.
Given Input numbers are 422, 698, 474, 968
In the factoring method, we have to find the divisors of all numbers
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
GCD of numbers is the greatest common divisor
So, the GCD (422, 698, 474, 968) = 2.
Given numbers are 422, 698, 474, 968
The list of prime factors of all numbers are
Prime factors of 422 are 2 x 211
Prime factors of 698 are 2 x 349
Prime factors of 474 are 2 x 3 x 79
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
The highest common occurrence is 21
Therefore, GCD of 422, 698, 474, 968 is 2.
Given numbers are 422, 698, 474, 968
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(422, 698) = 147278
GCD(422, 698) = ( 422 x 698 ) / 147278
= 422 / 698
= 422
Step2:
LCM(2, 474) = 474
GCD(2, 474) = ( 2 x 474 ) / 474
= 2 / 474
= 2
Step3:
LCM(2, 968) = 968
GCD(2, 968) = ( 2 x 968 ) / 968
= 2 / 968
= 2
So, Greatest Common Divisor of 422, 698, 474, 968 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 422, 698, 474, 968
The greatest common divisor of numbers 422, 698, 474, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 698, 474, 968 is 2.
1. What is the GCD of 422, 698, 474, 968?
GCD of given numbers 422, 698, 474, 968 is 2
2. How to calculate the greatest common divisor of 422, 698, 474, 968?
We can find the highest common divisor of 422, 698, 474, 968 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 422, 698, 474, 968 i.e 2.
3. How can I use the GCD of 422, 698, 474, 968Calculator?
Out the numbers 422, 698, 474, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.