Online GCD Calculator is useful to find the GCD of 560, 332, 304, 132 quickly. Get the easiest ways to solve the greatest common divisor of 560, 332, 304, 132 i.e 4 in different methods as follows.
Given Input numbers are 560, 332, 304, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 332 :
The positive integer divisors of 332 that completely divides 332 are.
1, 2, 4, 83, 166, 332
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
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
GCD of numbers is the greatest common divisor
So, the GCD (560, 332, 304, 132) = 4.
Given numbers are 560, 332, 304, 132
The list of prime factors of all numbers are
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 332 are 2 x 2 x 83
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 132 are 2 x 2 x 3 x 11
The highest common occurrence is 22
Therefore, GCD of 560, 332, 304, 132 is 4.
Given numbers are 560, 332, 304, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(560, 332) = 46480
GCD(560, 332) = ( 560 x 332 ) / 46480
= 560 / 332
= 560
Step2:
LCM(4, 304) = 304
GCD(4, 304) = ( 4 x 304 ) / 304
= 4 / 304
= 4
Step3:
LCM(4, 132) = 132
GCD(4, 132) = ( 4 x 132 ) / 132
= 4 / 132
= 4
So, Greatest Common Divisor of 560, 332, 304, 132 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 560, 332, 304, 132
The greatest common divisor of numbers 560, 332, 304, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 332, 304, 132 is 4.
1. What is the GCD of 560, 332, 304, 132?
GCD of given numbers 560, 332, 304, 132 is 4
2. How to calculate the greatest common divisor of 560, 332, 304, 132?
We can find the highest common divisor of 560, 332, 304, 132 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 560, 332, 304, 132 i.e 4.
3. How can I use the GCD of 560, 332, 304, 132Calculator?
Out the numbers 560, 332, 304, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.