Online GCD Calculator is useful to find the GCD of 500, 316, 570, 692 quickly. Get the easiest ways to solve the greatest common divisor of 500, 316, 570, 692 i.e 2 in different methods as follows.
Given Input numbers are 500, 316, 570, 692
In the factoring method, we have to find the divisors of all numbers
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
GCD of numbers is the greatest common divisor
So, the GCD (500, 316, 570, 692) = 2.
Given numbers are 500, 316, 570, 692
The list of prime factors of all numbers are
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 316 are 2 x 2 x 79
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 692 are 2 x 2 x 173
The highest common occurrence is 21
Therefore, GCD of 500, 316, 570, 692 is 2.
Given numbers are 500, 316, 570, 692
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 316) = 39500
GCD(500, 316) = ( 500 x 316 ) / 39500
= 500 / 316
= 500
Step2:
LCM(4, 570) = 1140
GCD(4, 570) = ( 4 x 570 ) / 1140
= 4 / 570
= 4
Step3:
LCM(2, 692) = 692
GCD(2, 692) = ( 2 x 692 ) / 692
= 2 / 692
= 2
So, Greatest Common Divisor of 500, 316, 570, 692 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 316, 570, 692
The greatest common divisor of numbers 500, 316, 570, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 316, 570, 692 is 2.
1. What is the GCD of 500, 316, 570, 692?
GCD of given numbers 500, 316, 570, 692 is 2
2. How to calculate the greatest common divisor of 500, 316, 570, 692?
We can find the highest common divisor of 500, 316, 570, 692 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 500, 316, 570, 692 i.e 2.
3. How can I use the GCD of 500, 316, 570, 692Calculator?
Out the numbers 500, 316, 570, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.