Online GCD Calculator is useful to find the GCD of 152, 304, 920, 608 quickly. Get the easiest ways to solve the greatest common divisor of 152, 304, 920, 608 i.e 8 in different methods as follows.
Given Input numbers are 152, 304, 920, 608
In the factoring method, we have to find the divisors of all numbers
Divisors of 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
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
GCD of numbers is the greatest common divisor
So, the GCD (152, 304, 920, 608) = 8.
Given numbers are 152, 304, 920, 608
The list of prime factors of all numbers are
Prime factors of 152 are 2 x 2 x 2 x 19
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
The highest common occurrence is 23
Therefore, GCD of 152, 304, 920, 608 is 8.
Given numbers are 152, 304, 920, 608
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(152, 304) = 304
GCD(152, 304) = ( 152 x 304 ) / 304
= 152 / 304
= 152
Step2:
LCM(152, 920) = 17480
GCD(152, 920) = ( 152 x 920 ) / 17480
= 152 / 920
= 152
Step3:
LCM(8, 608) = 608
GCD(8, 608) = ( 8 x 608 ) / 608
= 8 / 608
= 8
So, Greatest Common Divisor of 152, 304, 920, 608 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 152, 304, 920, 608
The greatest common divisor of numbers 152, 304, 920, 608 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 304, 920, 608 is 8.
1. What is the GCD of 152, 304, 920, 608?
GCD of given numbers 152, 304, 920, 608 is 8
2. How to calculate the greatest common divisor of 152, 304, 920, 608?
We can find the highest common divisor of 152, 304, 920, 608 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 152, 304, 920, 608 i.e 8.
3. How can I use the GCD of 152, 304, 920, 608Calculator?
Out the numbers 152, 304, 920, 608 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.