Online GCD Calculator is useful to find the GCD of 560, 548, 232, 508 quickly. Get the easiest ways to solve the greatest common divisor of 560, 548, 232, 508 i.e 4 in different methods as follows.
Given Input numbers are 560, 548, 232, 508
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 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
GCD of numbers is the greatest common divisor
So, the GCD (560, 548, 232, 508) = 4.
Given numbers are 560, 548, 232, 508
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 548 are 2 x 2 x 137
Prime factors of 232 are 2 x 2 x 2 x 29
Prime factors of 508 are 2 x 2 x 127
The highest common occurrence is 22
Therefore, GCD of 560, 548, 232, 508 is 4.
Given numbers are 560, 548, 232, 508
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(560, 548) = 76720
GCD(560, 548) = ( 560 x 548 ) / 76720
= 560 / 548
= 560
Step2:
LCM(4, 232) = 232
GCD(4, 232) = ( 4 x 232 ) / 232
= 4 / 232
= 4
Step3:
LCM(4, 508) = 508
GCD(4, 508) = ( 4 x 508 ) / 508
= 4 / 508
= 4
So, Greatest Common Divisor of 560, 548, 232, 508 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 560, 548, 232, 508
The greatest common divisor of numbers 560, 548, 232, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 548, 232, 508 is 4.
1. What is the GCD of 560, 548, 232, 508?
GCD of given numbers 560, 548, 232, 508 is 4
2. How to calculate the greatest common divisor of 560, 548, 232, 508?
We can find the highest common divisor of 560, 548, 232, 508 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, 548, 232, 508 i.e 4.
3. How can I use the GCD of 560, 548, 232, 508Calculator?
Out the numbers 560, 548, 232, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.