Online GCD Calculator is useful to find the GCD of 316, 160, 436, 724 quickly. Get the easiest ways to solve the greatest common divisor of 316, 160, 436, 724 i.e 4 in different methods as follows.
Given Input numbers are 316, 160, 436, 724
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 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
GCD of numbers is the greatest common divisor
So, the GCD (316, 160, 436, 724) = 4.
Given numbers are 316, 160, 436, 724
The list of prime factors of all numbers are
Prime factors of 316 are 2 x 2 x 79
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 436 are 2 x 2 x 109
Prime factors of 724 are 2 x 2 x 181
The highest common occurrence is 22
Therefore, GCD of 316, 160, 436, 724 is 4.
Given numbers are 316, 160, 436, 724
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(316, 160) = 12640
GCD(316, 160) = ( 316 x 160 ) / 12640
= 316 / 160
= 316
Step2:
LCM(4, 436) = 436
GCD(4, 436) = ( 4 x 436 ) / 436
= 4 / 436
= 4
Step3:
LCM(4, 724) = 724
GCD(4, 724) = ( 4 x 724 ) / 724
= 4 / 724
= 4
So, Greatest Common Divisor of 316, 160, 436, 724 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 316, 160, 436, 724
The greatest common divisor of numbers 316, 160, 436, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 160, 436, 724 is 4.
1. What is the GCD of 316, 160, 436, 724?
GCD of given numbers 316, 160, 436, 724 is 4
2. How to calculate the greatest common divisor of 316, 160, 436, 724?
We can find the highest common divisor of 316, 160, 436, 724 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, 160, 436, 724 i.e 4.
3. How can I use the GCD of 316, 160, 436, 724Calculator?
Out the numbers 316, 160, 436, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.