Online GCD Calculator is useful to find the GCD of 560, 348, 748, 330 quickly. Get the easiest ways to solve the greatest common divisor of 560, 348, 748, 330 i.e 2 in different methods as follows.
Given Input numbers are 560, 348, 748, 330
In the factoring method, we have to find the divisors of all numbers
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
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 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 330 :
The positive integer divisors of 330 that completely divides 330 are.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
GCD of numbers is the greatest common divisor
So, the GCD (560, 348, 748, 330) = 2.
Given numbers are 560, 348, 748, 330
The list of prime factors of all numbers are
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 330 are 2 x 3 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 560, 348, 748, 330 is 2.
Given numbers are 560, 348, 748, 330
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(560, 348) = 48720
GCD(560, 348) = ( 560 x 348 ) / 48720
= 560 / 348
= 560
Step2:
LCM(4, 748) = 748
GCD(4, 748) = ( 4 x 748 ) / 748
= 4 / 748
= 4
Step3:
LCM(4, 330) = 660
GCD(4, 330) = ( 4 x 330 ) / 660
= 4 / 330
= 4
So, Greatest Common Divisor of 560, 348, 748, 330 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 560, 348, 748, 330
The greatest common divisor of numbers 560, 348, 748, 330 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 348, 748, 330 is 2.
1. What is the GCD of 560, 348, 748, 330?
GCD of given numbers 560, 348, 748, 330 is 2
2. How to calculate the greatest common divisor of 560, 348, 748, 330?
We can find the highest common divisor of 560, 348, 748, 330 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 560, 348, 748, 330 i.e 2.
3. How can I use the GCD of 560, 348, 748, 330Calculator?
Out the numbers 560, 348, 748, 330 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.