Online GCD Calculator is useful to find the GCD of 434, 532, 726, 858 quickly. Get the easiest ways to solve the greatest common divisor of 434, 532, 726, 858 i.e 2 in different methods as follows.
Given Input numbers are 434, 532, 726, 858
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 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 858 :
The positive integer divisors of 858 that completely divides 858 are.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
GCD of numbers is the greatest common divisor
So, the GCD (434, 532, 726, 858) = 2.
Given numbers are 434, 532, 726, 858
The list of prime factors of all numbers are
Prime factors of 434 are 2 x 7 x 31
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 858 are 2 x 3 x 11 x 13
The highest common occurrence is 21
Therefore, GCD of 434, 532, 726, 858 is 2.
Given numbers are 434, 532, 726, 858
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(434, 532) = 16492
GCD(434, 532) = ( 434 x 532 ) / 16492
= 434 / 532
= 434
Step2:
LCM(14, 726) = 5082
GCD(14, 726) = ( 14 x 726 ) / 5082
= 14 / 726
= 14
Step3:
LCM(2, 858) = 858
GCD(2, 858) = ( 2 x 858 ) / 858
= 2 / 858
= 2
So, Greatest Common Divisor of 434, 532, 726, 858 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 434, 532, 726, 858
The greatest common divisor of numbers 434, 532, 726, 858 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 532, 726, 858 is 2.
1. What is the GCD of 434, 532, 726, 858?
GCD of given numbers 434, 532, 726, 858 is 2
2. How to calculate the greatest common divisor of 434, 532, 726, 858?
We can find the highest common divisor of 434, 532, 726, 858 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, 532, 726, 858 i.e 2.
3. How can I use the GCD of 434, 532, 726, 858Calculator?
Out the numbers 434, 532, 726, 858 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.