Online GCD Calculator is useful to find the GCD of 434, 312, 680, 492 quickly. Get the easiest ways to solve the greatest common divisor of 434, 312, 680, 492 i.e 2 in different methods as follows.
Given Input numbers are 434, 312, 680, 492
In the factoring method, we have to find the divisors of all numbers
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
GCD of numbers is the greatest common divisor
So, the GCD (434, 312, 680, 492) = 2.
Given numbers are 434, 312, 680, 492
The list of prime factors of all numbers are
Prime factors of 434 are 2 x 7 x 31
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 492 are 2 x 2 x 3 x 41
The highest common occurrence is 21
Therefore, GCD of 434, 312, 680, 492 is 2.
Given numbers are 434, 312, 680, 492
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(434, 312) = 67704
GCD(434, 312) = ( 434 x 312 ) / 67704
= 434 / 312
= 434
Step2:
LCM(2, 680) = 680
GCD(2, 680) = ( 2 x 680 ) / 680
= 2 / 680
= 2
Step3:
LCM(2, 492) = 492
GCD(2, 492) = ( 2 x 492 ) / 492
= 2 / 492
= 2
So, Greatest Common Divisor of 434, 312, 680, 492 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 434, 312, 680, 492
The greatest common divisor of numbers 434, 312, 680, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 312, 680, 492 is 2.
1. What is the GCD of 434, 312, 680, 492?
GCD of given numbers 434, 312, 680, 492 is 2
2. How to calculate the greatest common divisor of 434, 312, 680, 492?
We can find the highest common divisor of 434, 312, 680, 492 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 434, 312, 680, 492 i.e 2.
3. How can I use the GCD of 434, 312, 680, 492Calculator?
Out the numbers 434, 312, 680, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.