Online GCD Calculator is useful to find the GCD of 820, 492, 860, 536 quickly. Get the easiest ways to solve the greatest common divisor of 820, 492, 860, 536 i.e 4 in different methods as follows.
Given Input numbers are 820, 492, 860, 536
In the factoring method, we have to find the divisors of all numbers
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 860 :
The positive integer divisors of 860 that completely divides 860 are.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
GCD of numbers is the greatest common divisor
So, the GCD (820, 492, 860, 536) = 4.
Given numbers are 820, 492, 860, 536
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 860 are 2 x 2 x 5 x 43
Prime factors of 536 are 2 x 2 x 2 x 67
The highest common occurrence is 22
Therefore, GCD of 820, 492, 860, 536 is 4.
Given numbers are 820, 492, 860, 536
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 492) = 2460
GCD(820, 492) = ( 820 x 492 ) / 2460
= 820 / 492
= 820
Step2:
LCM(164, 860) = 35260
GCD(164, 860) = ( 164 x 860 ) / 35260
= 164 / 860
= 164
Step3:
LCM(4, 536) = 536
GCD(4, 536) = ( 4 x 536 ) / 536
= 4 / 536
= 4
So, Greatest Common Divisor of 820, 492, 860, 536 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 492, 860, 536
The greatest common divisor of numbers 820, 492, 860, 536 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 492, 860, 536 is 4.
1. What is the GCD of 820, 492, 860, 536?
GCD of given numbers 820, 492, 860, 536 is 4
2. How to calculate the greatest common divisor of 820, 492, 860, 536?
We can find the highest common divisor of 820, 492, 860, 536 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 820, 492, 860, 536 i.e 4.
3. How can I use the GCD of 820, 492, 860, 536Calculator?
Out the numbers 820, 492, 860, 536 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.