Online GCD Calculator is useful to find the GCD of 874, 509, 480, 423 quickly. Get the easiest ways to solve the greatest common divisor of 874, 509, 480, 423 i.e 1 in different methods as follows.
Given Input numbers are 874, 509, 480, 423
In the factoring method, we have to find the divisors of all numbers
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
GCD of numbers is the greatest common divisor
So, the GCD (874, 509, 480, 423) = 1.
Given numbers are 874, 509, 480, 423
The list of prime factors of all numbers are
Prime factors of 874 are 2 x 19 x 23
Prime factors of 509 are 509
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 423 are 3 x 3 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 874, 509, 480, 423
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(874, 509) = 444866
GCD(874, 509) = ( 874 x 509 ) / 444866
= 874 / 509
= 874
Step2:
LCM(1, 480) = 480
GCD(1, 480) = ( 1 x 480 ) / 480
= 1 / 480
= 1
Step3:
LCM(1, 423) = 423
GCD(1, 423) = ( 1 x 423 ) / 423
= 1 / 423
= 1
So, Greatest Common Divisor of 874, 509, 480, 423 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 874, 509, 480, 423
The greatest common divisor of numbers 874, 509, 480, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 509, 480, 423 is 1.
1. What is the GCD of 874, 509, 480, 423?
GCD of given numbers 874, 509, 480, 423 is 1
2. How to calculate the greatest common divisor of 874, 509, 480, 423?
We can find the highest common divisor of 874, 509, 480, 423 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 874, 509, 480, 423 i.e 1.
3. How can I use the GCD of 874, 509, 480, 423Calculator?
Out the numbers 874, 509, 480, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.