Online GCD Calculator is useful to find the GCD of 104, 136, 920, 736 quickly. Get the easiest ways to solve the greatest common divisor of 104, 136, 920, 736 i.e 8 in different methods as follows.
Given Input numbers are 104, 136, 920, 736
In the factoring method, we have to find the divisors of all numbers
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
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 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
GCD of numbers is the greatest common divisor
So, the GCD (104, 136, 920, 736) = 8.
Given numbers are 104, 136, 920, 736
The list of prime factors of all numbers are
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
The highest common occurrence is 23
Therefore, GCD of 104, 136, 920, 736 is 8.
Given numbers are 104, 136, 920, 736
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(104, 136) = 1768
GCD(104, 136) = ( 104 x 136 ) / 1768
= 104 / 136
= 104
Step2:
LCM(8, 920) = 920
GCD(8, 920) = ( 8 x 920 ) / 920
= 8 / 920
= 8
Step3:
LCM(8, 736) = 736
GCD(8, 736) = ( 8 x 736 ) / 736
= 8 / 736
= 8
So, Greatest Common Divisor of 104, 136, 920, 736 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 104, 136, 920, 736
The greatest common divisor of numbers 104, 136, 920, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 136, 920, 736 is 8.
1. What is the GCD of 104, 136, 920, 736?
GCD of given numbers 104, 136, 920, 736 is 8
2. How to calculate the greatest common divisor of 104, 136, 920, 736?
We can find the highest common divisor of 104, 136, 920, 736 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 104, 136, 920, 736 i.e 8.
3. How can I use the GCD of 104, 136, 920, 736Calculator?
Out the numbers 104, 136, 920, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.