Online GCD Calculator is useful to find the GCD of 468, 750, 608, 272 quickly. Get the easiest ways to solve the greatest common divisor of 468, 750, 608, 272 i.e 2 in different methods as follows.
Given Input numbers are 468, 750, 608, 272
In the factoring method, we have to find the divisors of all numbers
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
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 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (468, 750, 608, 272) = 2.
Given numbers are 468, 750, 608, 272
The list of prime factors of all numbers are
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The highest common occurrence is 21
Therefore, GCD of 468, 750, 608, 272 is 2.
Given numbers are 468, 750, 608, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(468, 750) = 58500
GCD(468, 750) = ( 468 x 750 ) / 58500
= 468 / 750
= 468
Step2:
LCM(6, 608) = 1824
GCD(6, 608) = ( 6 x 608 ) / 1824
= 6 / 608
= 6
Step3:
LCM(2, 272) = 272
GCD(2, 272) = ( 2 x 272 ) / 272
= 2 / 272
= 2
So, Greatest Common Divisor of 468, 750, 608, 272 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 468, 750, 608, 272
The greatest common divisor of numbers 468, 750, 608, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 750, 608, 272 is 2.
1. What is the GCD of 468, 750, 608, 272?
GCD of given numbers 468, 750, 608, 272 is 2
2. How to calculate the greatest common divisor of 468, 750, 608, 272?
We can find the highest common divisor of 468, 750, 608, 272 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 468, 750, 608, 272 i.e 2.
3. How can I use the GCD of 468, 750, 608, 272Calculator?
Out the numbers 468, 750, 608, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.