Online GCD Calculator is useful to find the GCD of 501, 117, 726, 336 quickly. Get the easiest ways to solve the greatest common divisor of 501, 117, 726, 336 i.e 3 in different methods as follows.
Given Input numbers are 501, 117, 726, 336
In the factoring method, we have to find the divisors of all numbers
Divisors of 501 :
The positive integer divisors of 501 that completely divides 501 are.
1, 3, 167, 501
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
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 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
GCD of numbers is the greatest common divisor
So, the GCD (501, 117, 726, 336) = 3.
Given numbers are 501, 117, 726, 336
The list of prime factors of all numbers are
Prime factors of 501 are 3 x 167
Prime factors of 117 are 3 x 3 x 13
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 501, 117, 726, 336 is 3.
Given numbers are 501, 117, 726, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(501, 117) = 19539
GCD(501, 117) = ( 501 x 117 ) / 19539
= 501 / 117
= 501
Step2:
LCM(3, 726) = 726
GCD(3, 726) = ( 3 x 726 ) / 726
= 3 / 726
= 3
Step3:
LCM(3, 336) = 336
GCD(3, 336) = ( 3 x 336 ) / 336
= 3 / 336
= 3
So, Greatest Common Divisor of 501, 117, 726, 336 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 501, 117, 726, 336
The greatest common divisor of numbers 501, 117, 726, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 117, 726, 336 is 3.
1. What is the GCD of 501, 117, 726, 336?
GCD of given numbers 501, 117, 726, 336 is 3
2. How to calculate the greatest common divisor of 501, 117, 726, 336?
We can find the highest common divisor of 501, 117, 726, 336 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 501, 117, 726, 336 i.e 3.
3. How can I use the GCD of 501, 117, 726, 336Calculator?
Out the numbers 501, 117, 726, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.