Online GCD Calculator is useful to find the GCD of 680, 136, 904, 824 quickly. Get the easiest ways to solve the greatest common divisor of 680, 136, 904, 824 i.e 8 in different methods as follows.
Given Input numbers are 680, 136, 904, 824
In the factoring method, we have to find the divisors of all numbers
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
GCD of numbers is the greatest common divisor
So, the GCD (680, 136, 904, 824) = 8.
Given numbers are 680, 136, 904, 824
The list of prime factors of all numbers are
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 904 are 2 x 2 x 2 x 113
Prime factors of 824 are 2 x 2 x 2 x 103
The highest common occurrence is 23
Therefore, GCD of 680, 136, 904, 824 is 8.
Given numbers are 680, 136, 904, 824
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 136) = 680
GCD(680, 136) = ( 680 x 136 ) / 680
= 680 / 136
= 680
Step2:
LCM(136, 904) = 15368
GCD(136, 904) = ( 136 x 904 ) / 15368
= 136 / 904
= 136
Step3:
LCM(8, 824) = 824
GCD(8, 824) = ( 8 x 824 ) / 824
= 8 / 824
= 8
So, Greatest Common Divisor of 680, 136, 904, 824 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 136, 904, 824
The greatest common divisor of numbers 680, 136, 904, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 136, 904, 824 is 8.
1. What is the GCD of 680, 136, 904, 824?
GCD of given numbers 680, 136, 904, 824 is 8
2. How to calculate the greatest common divisor of 680, 136, 904, 824?
We can find the highest common divisor of 680, 136, 904, 824 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 680, 136, 904, 824 i.e 8.
3. How can I use the GCD of 680, 136, 904, 824Calculator?
Out the numbers 680, 136, 904, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.