Online GCD Calculator is useful to find the GCD of 348, 606, 384, 537 quickly. Get the easiest ways to solve the greatest common divisor of 348, 606, 384, 537 i.e 3 in different methods as follows.
Given Input numbers are 348, 606, 384, 537
In the factoring method, we have to find the divisors of all numbers
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 606 :
The positive integer divisors of 606 that completely divides 606 are.
1, 2, 3, 6, 101, 202, 303, 606
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 537 :
The positive integer divisors of 537 that completely divides 537 are.
1, 3, 179, 537
GCD of numbers is the greatest common divisor
So, the GCD (348, 606, 384, 537) = 3.
Given numbers are 348, 606, 384, 537
The list of prime factors of all numbers are
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 606 are 2 x 3 x 101
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 537 are 3 x 179
The highest common occurrence is 31
Therefore, GCD of 348, 606, 384, 537 is 3.
Given numbers are 348, 606, 384, 537
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(348, 606) = 35148
GCD(348, 606) = ( 348 x 606 ) / 35148
= 348 / 606
= 348
Step2:
LCM(6, 384) = 384
GCD(6, 384) = ( 6 x 384 ) / 384
= 6 / 384
= 6
Step3:
LCM(6, 537) = 1074
GCD(6, 537) = ( 6 x 537 ) / 1074
= 6 / 537
= 6
So, Greatest Common Divisor of 348, 606, 384, 537 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 348, 606, 384, 537
The greatest common divisor of numbers 348, 606, 384, 537 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 606, 384, 537 is 3.
1. What is the GCD of 348, 606, 384, 537?
GCD of given numbers 348, 606, 384, 537 is 3
2. How to calculate the greatest common divisor of 348, 606, 384, 537?
We can find the highest common divisor of 348, 606, 384, 537 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 348, 606, 384, 537 i.e 3.
3. How can I use the GCD of 348, 606, 384, 537Calculator?
Out the numbers 348, 606, 384, 537 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.