Online GCD Calculator is useful to find the GCD of 530, 504, 345, 280 quickly. Get the easiest ways to solve the greatest common divisor of 530, 504, 345, 280 i.e 1 in different methods as follows.
Given Input numbers are 530, 504, 345, 280
In the factoring method, we have to find the divisors of all numbers
Divisors of 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
GCD of numbers is the greatest common divisor
So, the GCD (530, 504, 345, 280) = 1.
Given numbers are 530, 504, 345, 280
The list of prime factors of all numbers are
Prime factors of 530 are 2 x 5 x 53
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 345 are 3 x 5 x 23
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 530, 504, 345, 280
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(530, 504) = 133560
GCD(530, 504) = ( 530 x 504 ) / 133560
= 530 / 504
= 530
Step2:
LCM(2, 345) = 690
GCD(2, 345) = ( 2 x 345 ) / 690
= 2 / 345
= 2
Step3:
LCM(1, 280) = 280
GCD(1, 280) = ( 1 x 280 ) / 280
= 1 / 280
= 1
So, Greatest Common Divisor of 530, 504, 345, 280 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 530, 504, 345, 280
The greatest common divisor of numbers 530, 504, 345, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 530, 504, 345, 280 is 1.
1. What is the GCD of 530, 504, 345, 280?
GCD of given numbers 530, 504, 345, 280 is 1
2. How to calculate the greatest common divisor of 530, 504, 345, 280?
We can find the highest common divisor of 530, 504, 345, 280 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 530, 504, 345, 280 i.e 1.
3. How can I use the GCD of 530, 504, 345, 280Calculator?
Out the numbers 530, 504, 345, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.