Online GCD Calculator is useful to find the GCD of 164, 628, 736 quickly. Get the easiest ways to solve the greatest common divisor of 164, 628, 736 i.e 4 in different methods as follows.
Given Input numbers are 164, 628, 736
In the factoring method, we have to find the divisors of all numbers
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
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 (164, 628, 736) = 4.
Given numbers are 164, 628, 736
The list of prime factors of all numbers are
Prime factors of 164 are 2 x 2 x 41
Prime factors of 628 are 2 x 2 x 157
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
The highest common occurrence is 22
Therefore, GCD of 164, 628, 736 is 4.
Given numbers are 164, 628, 736
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(164, 628) = 25748
GCD(164, 628) = ( 164 x 628 ) / 25748
= 164 / 628
= 164
Step2:
LCM(4, 736) = 736
GCD(4, 736) = ( 4 x 736 ) / 736
= 4 / 736
= 4
So, Greatest Common Divisor of 164, 628, 736 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 164, 628, 736
The greatest common divisor of numbers 164, 628, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 628, 736 is 4.
1. What is the GCD of 164, 628, 736?
GCD of given numbers 164, 628, 736 is 4
2. How to calculate the greatest common divisor of 164, 628, 736?
We can find the highest common divisor of 164, 628, 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 164, 628, 736 i.e 4.
3. How can I use the GCD of 164, 628, 736Calculator?
Out the numbers 164, 628, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.