Online GCD Calculator is useful to find the GCD of 508, 752, 160 quickly. Get the easiest ways to solve the greatest common divisor of 508, 752, 160 i.e 4 in different methods as follows.
Given Input numbers are 508, 752, 160
In the factoring method, we have to find the divisors of all numbers
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
GCD of numbers is the greatest common divisor
So, the GCD (508, 752, 160) = 4.
Given numbers are 508, 752, 160
The list of prime factors of all numbers are
Prime factors of 508 are 2 x 2 x 127
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 22
Therefore, GCD of 508, 752, 160 is 4.
Given numbers are 508, 752, 160
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(508, 752) = 95504
GCD(508, 752) = ( 508 x 752 ) / 95504
= 508 / 752
= 508
Step2:
LCM(4, 160) = 160
GCD(4, 160) = ( 4 x 160 ) / 160
= 4 / 160
= 4
So, Greatest Common Divisor of 508, 752, 160 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 508, 752, 160
The greatest common divisor of numbers 508, 752, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 752, 160 is 4.
1. What is the GCD of 508, 752, 160?
GCD of given numbers 508, 752, 160 is 4
2. How to calculate the greatest common divisor of 508, 752, 160?
We can find the highest common divisor of 508, 752, 160 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 508, 752, 160 i.e 4.
3. How can I use the GCD of 508, 752, 160Calculator?
Out the numbers 508, 752, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.