Online GCD Calculator is useful to find the GCD of 442, 430, 680, 704 quickly. Get the easiest ways to solve the greatest common divisor of 442, 430, 680, 704 i.e 2 in different methods as follows.
Given Input numbers are 442, 430, 680, 704
In the factoring method, we have to find the divisors of all numbers
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 430 :
The positive integer divisors of 430 that completely divides 430 are.
1, 2, 5, 10, 43, 86, 215, 430
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 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
GCD of numbers is the greatest common divisor
So, the GCD (442, 430, 680, 704) = 2.
Given numbers are 442, 430, 680, 704
The list of prime factors of all numbers are
Prime factors of 442 are 2 x 13 x 17
Prime factors of 430 are 2 x 5 x 43
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
The highest common occurrence is 21
Therefore, GCD of 442, 430, 680, 704 is 2.
Given numbers are 442, 430, 680, 704
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(442, 430) = 95030
GCD(442, 430) = ( 442 x 430 ) / 95030
= 442 / 430
= 442
Step2:
LCM(2, 680) = 680
GCD(2, 680) = ( 2 x 680 ) / 680
= 2 / 680
= 2
Step3:
LCM(2, 704) = 704
GCD(2, 704) = ( 2 x 704 ) / 704
= 2 / 704
= 2
So, Greatest Common Divisor of 442, 430, 680, 704 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 442, 430, 680, 704
The greatest common divisor of numbers 442, 430, 680, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 430, 680, 704 is 2.
1. What is the GCD of 442, 430, 680, 704?
GCD of given numbers 442, 430, 680, 704 is 2
2. How to calculate the greatest common divisor of 442, 430, 680, 704?
We can find the highest common divisor of 442, 430, 680, 704 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 442, 430, 680, 704 i.e 2.
3. How can I use the GCD of 442, 430, 680, 704Calculator?
Out the numbers 442, 430, 680, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.