Online GCD Calculator is useful to find the GCD of 316, 418, 572, 160 quickly. Get the easiest ways to solve the greatest common divisor of 316, 418, 572, 160 i.e 2 in different methods as follows.
Given Input numbers are 316, 418, 572, 160
In the factoring method, we have to find the divisors of all numbers
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 572 :
The positive integer divisors of 572 that completely divides 572 are.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
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 (316, 418, 572, 160) = 2.
Given numbers are 316, 418, 572, 160
The list of prime factors of all numbers are
Prime factors of 316 are 2 x 2 x 79
Prime factors of 418 are 2 x 11 x 19
Prime factors of 572 are 2 x 2 x 11 x 13
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 316, 418, 572, 160 is 2.
Given numbers are 316, 418, 572, 160
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(316, 418) = 66044
GCD(316, 418) = ( 316 x 418 ) / 66044
= 316 / 418
= 316
Step2:
LCM(2, 572) = 572
GCD(2, 572) = ( 2 x 572 ) / 572
= 2 / 572
= 2
Step3:
LCM(2, 160) = 160
GCD(2, 160) = ( 2 x 160 ) / 160
= 2 / 160
= 2
So, Greatest Common Divisor of 316, 418, 572, 160 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 316, 418, 572, 160
The greatest common divisor of numbers 316, 418, 572, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 418, 572, 160 is 2.
1. What is the GCD of 316, 418, 572, 160?
GCD of given numbers 316, 418, 572, 160 is 2
2. How to calculate the greatest common divisor of 316, 418, 572, 160?
We can find the highest common divisor of 316, 418, 572, 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 316, 418, 572, 160 i.e 2.
3. How can I use the GCD of 316, 418, 572, 160Calculator?
Out the numbers 316, 418, 572, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.