Online GCD Calculator is useful to find the GCD of 504, 360, 280, 652 quickly. Get the easiest ways to solve the greatest common divisor of 504, 360, 280, 652 i.e 4 in different methods as follows.
Given Input numbers are 504, 360, 280, 652
In the factoring method, we have to find the divisors of all numbers
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 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
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
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
GCD of numbers is the greatest common divisor
So, the GCD (504, 360, 280, 652) = 4.
Given numbers are 504, 360, 280, 652
The list of prime factors of all numbers are
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 652 are 2 x 2 x 163
The highest common occurrence is 22
Therefore, GCD of 504, 360, 280, 652 is 4.
Given numbers are 504, 360, 280, 652
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 360) = 2520
GCD(504, 360) = ( 504 x 360 ) / 2520
= 504 / 360
= 504
Step2:
LCM(72, 280) = 2520
GCD(72, 280) = ( 72 x 280 ) / 2520
= 72 / 280
= 72
Step3:
LCM(8, 652) = 1304
GCD(8, 652) = ( 8 x 652 ) / 1304
= 8 / 652
= 8
So, Greatest Common Divisor of 504, 360, 280, 652 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 504, 360, 280, 652
The greatest common divisor of numbers 504, 360, 280, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 360, 280, 652 is 4.
1. What is the GCD of 504, 360, 280, 652?
GCD of given numbers 504, 360, 280, 652 is 4
2. How to calculate the greatest common divisor of 504, 360, 280, 652?
We can find the highest common divisor of 504, 360, 280, 652 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 504, 360, 280, 652 i.e 4.
3. How can I use the GCD of 504, 360, 280, 652Calculator?
Out the numbers 504, 360, 280, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.