Online GCD Calculator is useful to find the GCD of 434, 638, 692, 716 quickly. Get the easiest ways to solve the greatest common divisor of 434, 638, 692, 716 i.e 2 in different methods as follows.
Given Input numbers are 434, 638, 692, 716
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 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
GCD of numbers is the greatest common divisor
So, the GCD (434, 638, 692, 716) = 2.
Given numbers are 434, 638, 692, 716
The list of prime factors of all numbers are
Prime factors of 434 are 2 x 7 x 31
Prime factors of 638 are 2 x 11 x 29
Prime factors of 692 are 2 x 2 x 173
Prime factors of 716 are 2 x 2 x 179
The highest common occurrence is 21
Therefore, GCD of 434, 638, 692, 716 is 2.
Given numbers are 434, 638, 692, 716
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(434, 638) = 138446
GCD(434, 638) = ( 434 x 638 ) / 138446
= 434 / 638
= 434
Step2:
LCM(2, 692) = 692
GCD(2, 692) = ( 2 x 692 ) / 692
= 2 / 692
= 2
Step3:
LCM(2, 716) = 716
GCD(2, 716) = ( 2 x 716 ) / 716
= 2 / 716
= 2
So, Greatest Common Divisor of 434, 638, 692, 716 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 434, 638, 692, 716
The greatest common divisor of numbers 434, 638, 692, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 638, 692, 716 is 2.
1. What is the GCD of 434, 638, 692, 716?
GCD of given numbers 434, 638, 692, 716 is 2
2. How to calculate the greatest common divisor of 434, 638, 692, 716?
We can find the highest common divisor of 434, 638, 692, 716 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, 638, 692, 716 i.e 2.
3. How can I use the GCD of 434, 638, 692, 716Calculator?
Out the numbers 434, 638, 692, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.