Online GCD Calculator is useful to find the GCD of 436, 684, 430, 698 quickly. Get the easiest ways to solve the greatest common divisor of 436, 684, 430, 698 i.e 2 in different methods as follows.
Given Input numbers are 436, 684, 430, 698
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 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 430 :
The positive integer divisors of 430 that completely divides 430 are.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
GCD of numbers is the greatest common divisor
So, the GCD (436, 684, 430, 698) = 2.
Given numbers are 436, 684, 430, 698
The list of prime factors of all numbers are
Prime factors of 436 are 2 x 2 x 109
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 430 are 2 x 5 x 43
Prime factors of 698 are 2 x 349
The highest common occurrence is 21
Therefore, GCD of 436, 684, 430, 698 is 2.
Given numbers are 436, 684, 430, 698
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(436, 684) = 74556
GCD(436, 684) = ( 436 x 684 ) / 74556
= 436 / 684
= 436
Step2:
LCM(4, 430) = 860
GCD(4, 430) = ( 4 x 430 ) / 860
= 4 / 430
= 4
Step3:
LCM(2, 698) = 698
GCD(2, 698) = ( 2 x 698 ) / 698
= 2 / 698
= 2
So, Greatest Common Divisor of 436, 684, 430, 698 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 436, 684, 430, 698
The greatest common divisor of numbers 436, 684, 430, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 436, 684, 430, 698 is 2.
1. What is the GCD of 436, 684, 430, 698?
GCD of given numbers 436, 684, 430, 698 is 2
2. How to calculate the greatest common divisor of 436, 684, 430, 698?
We can find the highest common divisor of 436, 684, 430, 698 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, 684, 430, 698 i.e 2.
3. How can I use the GCD of 436, 684, 430, 698Calculator?
Out the numbers 436, 684, 430, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.