Online GCD Calculator is useful to find the GCD of 392, 824, 500, 726 quickly. Get the easiest ways to solve the greatest common divisor of 392, 824, 500, 726 i.e 2 in different methods as follows.
Given Input numbers are 392, 824, 500, 726
In the factoring method, we have to find the divisors of all numbers
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
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
GCD of numbers is the greatest common divisor
So, the GCD (392, 824, 500, 726) = 2.
Given numbers are 392, 824, 500, 726
The list of prime factors of all numbers are
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 726 are 2 x 3 x 11 x 11
The highest common occurrence is 21
Therefore, GCD of 392, 824, 500, 726 is 2.
Given numbers are 392, 824, 500, 726
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(392, 824) = 40376
GCD(392, 824) = ( 392 x 824 ) / 40376
= 392 / 824
= 392
Step2:
LCM(8, 500) = 1000
GCD(8, 500) = ( 8 x 500 ) / 1000
= 8 / 500
= 8
Step3:
LCM(4, 726) = 1452
GCD(4, 726) = ( 4 x 726 ) / 1452
= 4 / 726
= 4
So, Greatest Common Divisor of 392, 824, 500, 726 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 392, 824, 500, 726
The greatest common divisor of numbers 392, 824, 500, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 824, 500, 726 is 2.
1. What is the GCD of 392, 824, 500, 726?
GCD of given numbers 392, 824, 500, 726 is 2
2. How to calculate the greatest common divisor of 392, 824, 500, 726?
We can find the highest common divisor of 392, 824, 500, 726 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 392, 824, 500, 726 i.e 2.
3. How can I use the GCD of 392, 824, 500, 726Calculator?
Out the numbers 392, 824, 500, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.