Online GCD Calculator is useful to find the GCD of 634, 364, 726, 362 quickly. Get the easiest ways to solve the greatest common divisor of 634, 364, 726, 362 i.e 2 in different methods as follows.
Given Input numbers are 634, 364, 726, 362
In the factoring method, we have to find the divisors of all numbers
Divisors of 634 :
The positive integer divisors of 634 that completely divides 634 are.
1, 2, 317, 634
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
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 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
GCD of numbers is the greatest common divisor
So, the GCD (634, 364, 726, 362) = 2.
Given numbers are 634, 364, 726, 362
The list of prime factors of all numbers are
Prime factors of 634 are 2 x 317
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 362 are 2 x 181
The highest common occurrence is 21
Therefore, GCD of 634, 364, 726, 362 is 2.
Given numbers are 634, 364, 726, 362
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(634, 364) = 115388
GCD(634, 364) = ( 634 x 364 ) / 115388
= 634 / 364
= 634
Step2:
LCM(2, 726) = 726
GCD(2, 726) = ( 2 x 726 ) / 726
= 2 / 726
= 2
Step3:
LCM(2, 362) = 362
GCD(2, 362) = ( 2 x 362 ) / 362
= 2 / 362
= 2
So, Greatest Common Divisor of 634, 364, 726, 362 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 634, 364, 726, 362
The greatest common divisor of numbers 634, 364, 726, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 364, 726, 362 is 2.
1. What is the GCD of 634, 364, 726, 362?
GCD of given numbers 634, 364, 726, 362 is 2
2. How to calculate the greatest common divisor of 634, 364, 726, 362?
We can find the highest common divisor of 634, 364, 726, 362 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 634, 364, 726, 362 i.e 2.
3. How can I use the GCD of 634, 364, 726, 362Calculator?
Out the numbers 634, 364, 726, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.