Online GCD Calculator is useful to find the GCD of 436, 234, 698, 772 quickly. Get the easiest ways to solve the greatest common divisor of 436, 234, 698, 772 i.e 2 in different methods as follows.
Given Input numbers are 436, 234, 698, 772
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 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
GCD of numbers is the greatest common divisor
So, the GCD (436, 234, 698, 772) = 2.
Given numbers are 436, 234, 698, 772
The list of prime factors of all numbers are
Prime factors of 436 are 2 x 2 x 109
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 698 are 2 x 349
Prime factors of 772 are 2 x 2 x 193
The highest common occurrence is 21
Therefore, GCD of 436, 234, 698, 772 is 2.
Given numbers are 436, 234, 698, 772
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(436, 234) = 51012
GCD(436, 234) = ( 436 x 234 ) / 51012
= 436 / 234
= 436
Step2:
LCM(2, 698) = 698
GCD(2, 698) = ( 2 x 698 ) / 698
= 2 / 698
= 2
Step3:
LCM(2, 772) = 772
GCD(2, 772) = ( 2 x 772 ) / 772
= 2 / 772
= 2
So, Greatest Common Divisor of 436, 234, 698, 772 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 436, 234, 698, 772
The greatest common divisor of numbers 436, 234, 698, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 436, 234, 698, 772 is 2.
1. What is the GCD of 436, 234, 698, 772?
GCD of given numbers 436, 234, 698, 772 is 2
2. How to calculate the greatest common divisor of 436, 234, 698, 772?
We can find the highest common divisor of 436, 234, 698, 772 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, 234, 698, 772 i.e 2.
3. How can I use the GCD of 436, 234, 698, 772Calculator?
Out the numbers 436, 234, 698, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.