Online GCD Calculator is useful to find the GCD of 501, 438, 354 quickly. Get the easiest ways to solve the greatest common divisor of 501, 438, 354 i.e 3 in different methods as follows.
Given Input numbers are 501, 438, 354
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 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
GCD of numbers is the greatest common divisor
So, the GCD (501, 438, 354) = 3.
Given numbers are 501, 438, 354
The list of prime factors of all numbers are
Prime factors of 501 are 3 x 167
Prime factors of 438 are 2 x 3 x 73
Prime factors of 354 are 2 x 3 x 59
The highest common occurrence is 31
Therefore, GCD of 501, 438, 354 is 3.
Given numbers are 501, 438, 354
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(501, 438) = 73146
GCD(501, 438) = ( 501 x 438 ) / 73146
= 501 / 438
= 501
Step2:
LCM(3, 354) = 354
GCD(3, 354) = ( 3 x 354 ) / 354
= 3 / 354
= 3
So, Greatest Common Divisor of 501, 438, 354 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 501, 438, 354
The greatest common divisor of numbers 501, 438, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 438, 354 is 3.
1. What is the GCD of 501, 438, 354?
GCD of given numbers 501, 438, 354 is 3
2. How to calculate the greatest common divisor of 501, 438, 354?
We can find the highest common divisor of 501, 438, 354 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, 438, 354 i.e 3.
3. How can I use the GCD of 501, 438, 354Calculator?
Out the numbers 501, 438, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.