Online GCD Calculator is useful to find the GCD of 423, 642, 820, 675 quickly. Get the easiest ways to solve the greatest common divisor of 423, 642, 820, 675 i.e 1 in different methods as follows.
Given Input numbers are 423, 642, 820, 675
In the factoring method, we have to find the divisors of all numbers
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
GCD of numbers is the greatest common divisor
So, the GCD (423, 642, 820, 675) = 1.
Given numbers are 423, 642, 820, 675
The list of prime factors of all numbers are
Prime factors of 423 are 3 x 3 x 47
Prime factors of 642 are 2 x 3 x 107
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 423, 642, 820, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(423, 642) = 90522
GCD(423, 642) = ( 423 x 642 ) / 90522
= 423 / 642
= 423
Step2:
LCM(3, 820) = 2460
GCD(3, 820) = ( 3 x 820 ) / 2460
= 3 / 820
= 3
Step3:
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
= 1 / 675
= 1
So, Greatest Common Divisor of 423, 642, 820, 675 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 423, 642, 820, 675
The greatest common divisor of numbers 423, 642, 820, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 423, 642, 820, 675 is 1.
1. What is the GCD of 423, 642, 820, 675?
GCD of given numbers 423, 642, 820, 675 is 1
2. How to calculate the greatest common divisor of 423, 642, 820, 675?
We can find the highest common divisor of 423, 642, 820, 675 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 423, 642, 820, 675 i.e 1.
3. How can I use the GCD of 423, 642, 820, 675Calculator?
Out the numbers 423, 642, 820, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.