Online GCD Calculator is useful to find the GCD of 608, 732, 820 quickly. Get the easiest ways to solve the greatest common divisor of 608, 732, 820 i.e 4 in different methods as follows.
Given Input numbers are 608, 732, 820
In the factoring method, we have to find the divisors of all numbers
Divisors of 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
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
GCD of numbers is the greatest common divisor
So, the GCD (608, 732, 820) = 4.
Given numbers are 608, 732, 820
The list of prime factors of all numbers are
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 820 are 2 x 2 x 5 x 41
The highest common occurrence is 22
Therefore, GCD of 608, 732, 820 is 4.
Given numbers are 608, 732, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(608, 732) = 111264
GCD(608, 732) = ( 608 x 732 ) / 111264
= 608 / 732
= 608
Step2:
LCM(4, 820) = 820
GCD(4, 820) = ( 4 x 820 ) / 820
= 4 / 820
= 4
So, Greatest Common Divisor of 608, 732, 820 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 608, 732, 820
The greatest common divisor of numbers 608, 732, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 608, 732, 820 is 4.
1. What is the GCD of 608, 732, 820?
GCD of given numbers 608, 732, 820 is 4
2. How to calculate the greatest common divisor of 608, 732, 820?
We can find the highest common divisor of 608, 732, 820 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 608, 732, 820 i.e 4.
3. How can I use the GCD of 608, 732, 820Calculator?
Out the numbers 608, 732, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.