Online GCD Calculator is useful to find the GCD of 436, 832, 688, 170 quickly. Get the easiest ways to solve the greatest common divisor of 436, 832, 688, 170 i.e 2 in different methods as follows.
Given Input numbers are 436, 832, 688, 170
In the factoring method, we have to find the divisors of all numbers
Divisors of 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
GCD of numbers is the greatest common divisor
So, the GCD (436, 832, 688, 170) = 2.
Given numbers are 436, 832, 688, 170
The list of prime factors of all numbers are
Prime factors of 436 are 2 x 2 x 109
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 170 are 2 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 436, 832, 688, 170 is 2.
Given numbers are 436, 832, 688, 170
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(436, 832) = 90688
GCD(436, 832) = ( 436 x 832 ) / 90688
= 436 / 832
= 436
Step2:
LCM(4, 688) = 688
GCD(4, 688) = ( 4 x 688 ) / 688
= 4 / 688
= 4
Step3:
LCM(4, 170) = 340
GCD(4, 170) = ( 4 x 170 ) / 340
= 4 / 170
= 4
So, Greatest Common Divisor of 436, 832, 688, 170 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 436, 832, 688, 170
The greatest common divisor of numbers 436, 832, 688, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 436, 832, 688, 170 is 2.
1. What is the GCD of 436, 832, 688, 170?
GCD of given numbers 436, 832, 688, 170 is 2
2. How to calculate the greatest common divisor of 436, 832, 688, 170?
We can find the highest common divisor of 436, 832, 688, 170 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 436, 832, 688, 170 i.e 2.
3. How can I use the GCD of 436, 832, 688, 170Calculator?
Out the numbers 436, 832, 688, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.