Online GCD Calculator is useful to find the GCD of 726, 532, 998, 652 quickly. Get the easiest ways to solve the greatest common divisor of 726, 532, 998, 652 i.e 2 in different methods as follows.
Given Input numbers are 726, 532, 998, 652
In the factoring method, we have to find the divisors of all numbers
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 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 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
GCD of numbers is the greatest common divisor
So, the GCD (726, 532, 998, 652) = 2.
Given numbers are 726, 532, 998, 652
The list of prime factors of all numbers are
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 998 are 2 x 499
Prime factors of 652 are 2 x 2 x 163
The highest common occurrence is 21
Therefore, GCD of 726, 532, 998, 652 is 2.
Given numbers are 726, 532, 998, 652
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(726, 532) = 193116
GCD(726, 532) = ( 726 x 532 ) / 193116
= 726 / 532
= 726
Step2:
LCM(2, 998) = 998
GCD(2, 998) = ( 2 x 998 ) / 998
= 2 / 998
= 2
Step3:
LCM(2, 652) = 652
GCD(2, 652) = ( 2 x 652 ) / 652
= 2 / 652
= 2
So, Greatest Common Divisor of 726, 532, 998, 652 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 726, 532, 998, 652
The greatest common divisor of numbers 726, 532, 998, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 532, 998, 652 is 2.
1. What is the GCD of 726, 532, 998, 652?
GCD of given numbers 726, 532, 998, 652 is 2
2. How to calculate the greatest common divisor of 726, 532, 998, 652?
We can find the highest common divisor of 726, 532, 998, 652 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 726, 532, 998, 652 i.e 2.
3. How can I use the GCD of 726, 532, 998, 652Calculator?
Out the numbers 726, 532, 998, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.