Online GCD Calculator is useful to find the GCD of 624, 280, 132, 304 quickly. Get the easiest ways to solve the greatest common divisor of 624, 280, 132, 304 i.e 4 in different methods as follows.
Given Input numbers are 624, 280, 132, 304
In the factoring method, we have to find the divisors of all numbers
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
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 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
GCD of numbers is the greatest common divisor
So, the GCD (624, 280, 132, 304) = 4.
Given numbers are 624, 280, 132, 304
The list of prime factors of all numbers are
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
The highest common occurrence is 22
Therefore, GCD of 624, 280, 132, 304 is 4.
Given numbers are 624, 280, 132, 304
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(624, 280) = 21840
GCD(624, 280) = ( 624 x 280 ) / 21840
= 624 / 280
= 624
Step2:
LCM(8, 132) = 264
GCD(8, 132) = ( 8 x 132 ) / 264
= 8 / 132
= 8
Step3:
LCM(4, 304) = 304
GCD(4, 304) = ( 4 x 304 ) / 304
= 4 / 304
= 4
So, Greatest Common Divisor of 624, 280, 132, 304 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 624, 280, 132, 304
The greatest common divisor of numbers 624, 280, 132, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 280, 132, 304 is 4.
1. What is the GCD of 624, 280, 132, 304?
GCD of given numbers 624, 280, 132, 304 is 4
2. How to calculate the greatest common divisor of 624, 280, 132, 304?
We can find the highest common divisor of 624, 280, 132, 304 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 624, 280, 132, 304 i.e 4.
3. How can I use the GCD of 624, 280, 132, 304Calculator?
Out the numbers 624, 280, 132, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.