Online GCD Calculator is useful to find the GCD of 478, 588, 724, 422 quickly. Get the easiest ways to solve the greatest common divisor of 478, 588, 724, 422 i.e 2 in different methods as follows.
Given Input numbers are 478, 588, 724, 422
In the factoring method, we have to find the divisors of all numbers
Divisors of 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
GCD of numbers is the greatest common divisor
So, the GCD (478, 588, 724, 422) = 2.
Given numbers are 478, 588, 724, 422
The list of prime factors of all numbers are
Prime factors of 478 are 2 x 239
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 724 are 2 x 2 x 181
Prime factors of 422 are 2 x 211
The highest common occurrence is 21
Therefore, GCD of 478, 588, 724, 422 is 2.
Given numbers are 478, 588, 724, 422
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(478, 588) = 140532
GCD(478, 588) = ( 478 x 588 ) / 140532
= 478 / 588
= 478
Step2:
LCM(2, 724) = 724
GCD(2, 724) = ( 2 x 724 ) / 724
= 2 / 724
= 2
Step3:
LCM(2, 422) = 422
GCD(2, 422) = ( 2 x 422 ) / 422
= 2 / 422
= 2
So, Greatest Common Divisor of 478, 588, 724, 422 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 478, 588, 724, 422
The greatest common divisor of numbers 478, 588, 724, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 478, 588, 724, 422 is 2.
1. What is the GCD of 478, 588, 724, 422?
GCD of given numbers 478, 588, 724, 422 is 2
2. How to calculate the greatest common divisor of 478, 588, 724, 422?
We can find the highest common divisor of 478, 588, 724, 422 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 478, 588, 724, 422 i.e 2.
3. How can I use the GCD of 478, 588, 724, 422Calculator?
Out the numbers 478, 588, 724, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.