Online GCD Calculator is useful to find the GCD of 442, 823, 676, 342 quickly. Get the easiest ways to solve the greatest common divisor of 442, 823, 676, 342 i.e 1 in different methods as follows.
Given Input numbers are 442, 823, 676, 342
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 823 :
The positive integer divisors of 823 that completely divides 823 are.
1, 823
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (442, 823, 676, 342) = 1.
Given numbers are 442, 823, 676, 342
The list of prime factors of all numbers are
Prime factors of 442 are 2 x 13 x 17
Prime factors of 823 are 823
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 342 are 2 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 442, 823, 676, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(442, 823) = 363766
GCD(442, 823) = ( 442 x 823 ) / 363766
= 442 / 823
= 442
Step2:
LCM(1, 676) = 676
GCD(1, 676) = ( 1 x 676 ) / 676
= 1 / 676
= 1
Step3:
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
= 1 / 342
= 1
So, Greatest Common Divisor of 442, 823, 676, 342 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 442, 823, 676, 342
The greatest common divisor of numbers 442, 823, 676, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 823, 676, 342 is 1.
1. What is the GCD of 442, 823, 676, 342?
GCD of given numbers 442, 823, 676, 342 is 1
2. How to calculate the greatest common divisor of 442, 823, 676, 342?
We can find the highest common divisor of 442, 823, 676, 342 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, 823, 676, 342 i.e 1.
3. How can I use the GCD of 442, 823, 676, 342Calculator?
Out the numbers 442, 823, 676, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.