Online GCD Calculator is useful to find the GCD of 356, 520, 348, 324 quickly. Get the easiest ways to solve the greatest common divisor of 356, 520, 348, 324 i.e 4 in different methods as follows.
Given Input numbers are 356, 520, 348, 324
In the factoring method, we have to find the divisors of all numbers
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
GCD of numbers is the greatest common divisor
So, the GCD (356, 520, 348, 324) = 4.
Given numbers are 356, 520, 348, 324
The list of prime factors of all numbers are
Prime factors of 356 are 2 x 2 x 89
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 22
Therefore, GCD of 356, 520, 348, 324 is 4.
Given numbers are 356, 520, 348, 324
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(356, 520) = 46280
GCD(356, 520) = ( 356 x 520 ) / 46280
= 356 / 520
= 356
Step2:
LCM(4, 348) = 348
GCD(4, 348) = ( 4 x 348 ) / 348
= 4 / 348
= 4
Step3:
LCM(4, 324) = 324
GCD(4, 324) = ( 4 x 324 ) / 324
= 4 / 324
= 4
So, Greatest Common Divisor of 356, 520, 348, 324 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 356, 520, 348, 324
The greatest common divisor of numbers 356, 520, 348, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 520, 348, 324 is 4.
1. What is the GCD of 356, 520, 348, 324?
GCD of given numbers 356, 520, 348, 324 is 4
2. How to calculate the greatest common divisor of 356, 520, 348, 324?
We can find the highest common divisor of 356, 520, 348, 324 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 356, 520, 348, 324 i.e 4.
3. How can I use the GCD of 356, 520, 348, 324Calculator?
Out the numbers 356, 520, 348, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.