Online GCD Calculator is useful to find the GCD of 136, 436, 956, 320 quickly. Get the easiest ways to solve the greatest common divisor of 136, 436, 956, 320 i.e 4 in different methods as follows.
Given Input numbers are 136, 436, 956, 320
In the factoring method, we have to find the divisors of all numbers
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
GCD of numbers is the greatest common divisor
So, the GCD (136, 436, 956, 320) = 4.
Given numbers are 136, 436, 956, 320
The list of prime factors of all numbers are
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 436 are 2 x 2 x 109
Prime factors of 956 are 2 x 2 x 239
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 22
Therefore, GCD of 136, 436, 956, 320 is 4.
Given numbers are 136, 436, 956, 320
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(136, 436) = 14824
GCD(136, 436) = ( 136 x 436 ) / 14824
= 136 / 436
= 136
Step2:
LCM(4, 956) = 956
GCD(4, 956) = ( 4 x 956 ) / 956
= 4 / 956
= 4
Step3:
LCM(4, 320) = 320
GCD(4, 320) = ( 4 x 320 ) / 320
= 4 / 320
= 4
So, Greatest Common Divisor of 136, 436, 956, 320 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 136, 436, 956, 320
The greatest common divisor of numbers 136, 436, 956, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 436, 956, 320 is 4.
1. What is the GCD of 136, 436, 956, 320?
GCD of given numbers 136, 436, 956, 320 is 4
2. How to calculate the greatest common divisor of 136, 436, 956, 320?
We can find the highest common divisor of 136, 436, 956, 320 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 136, 436, 956, 320 i.e 4.
3. How can I use the GCD of 136, 436, 956, 320Calculator?
Out the numbers 136, 436, 956, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.