Online GCD Calculator is useful to find the GCD of 608, 610, 72 quickly. Get the easiest ways to solve the greatest common divisor of 608, 610, 72 i.e 2 in different methods as follows.
Given Input numbers are 608, 610, 72
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 610 :
The positive integer divisors of 610 that completely divides 610 are.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
GCD of numbers is the greatest common divisor
So, the GCD (608, 610, 72) = 2.
Given numbers are 608, 610, 72
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 610 are 2 x 5 x 61
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 608, 610, 72 is 2.
Given numbers are 608, 610, 72
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(608, 610) = 185440
GCD(608, 610) = ( 608 x 610 ) / 185440
= 608 / 610
= 608
Step2:
LCM(2, 72) = 72
GCD(2, 72) = ( 2 x 72 ) / 72
= 2 / 72
= 2
So, Greatest Common Divisor of 608, 610, 72 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 608, 610, 72
The greatest common divisor of numbers 608, 610, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 608, 610, 72 is 2.
1. What is the GCD of 608, 610, 72?
GCD of given numbers 608, 610, 72 is 2
2. How to calculate the greatest common divisor of 608, 610, 72?
We can find the highest common divisor of 608, 610, 72 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, 610, 72 i.e 2.
3. How can I use the GCD of 608, 610, 72Calculator?
Out the numbers 608, 610, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.