Online GCD Calculator is useful to find the GCD of 422, 375, 784 quickly. Get the easiest ways to solve the greatest common divisor of 422, 375, 784 i.e 1 in different methods as follows.
Given Input numbers are 422, 375, 784
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 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
GCD of numbers is the greatest common divisor
So, the GCD (422, 375, 784) = 1.
Given numbers are 422, 375, 784
The list of prime factors of all numbers are
Prime factors of 422 are 2 x 211
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 422, 375, 784
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(422, 375) = 158250
GCD(422, 375) = ( 422 x 375 ) / 158250
= 422 / 375
= 422
Step2:
LCM(1, 784) = 784
GCD(1, 784) = ( 1 x 784 ) / 784
= 1 / 784
= 1
So, Greatest Common Divisor of 422, 375, 784 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 422, 375, 784
The greatest common divisor of numbers 422, 375, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 375, 784 is 1.
1. What is the GCD of 422, 375, 784?
GCD of given numbers 422, 375, 784 is 1
2. How to calculate the greatest common divisor of 422, 375, 784?
We can find the highest common divisor of 422, 375, 784 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, 375, 784 i.e 1.
3. How can I use the GCD of 422, 375, 784Calculator?
Out the numbers 422, 375, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.