Online GCD Calculator is useful to find the GCD of 560, 348, 928, 320 quickly. Get the easiest ways to solve the greatest common divisor of 560, 348, 928, 320 i.e 4 in different methods as follows.
Given Input numbers are 560, 348, 928, 320
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 928 :
The positive integer divisors of 928 that completely divides 928 are.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
GCD of numbers is the greatest common divisor
So, the GCD (560, 348, 928, 320) = 4.
Given numbers are 560, 348, 928, 320
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 928 are 2 x 2 x 2 x 2 x 2 x 29
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 22
Therefore, GCD of 560, 348, 928, 320 is 4.
Given numbers are 560, 348, 928, 320
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, 928) = 928
GCD(4, 928) = ( 4 x 928 ) / 928
= 4 / 928
= 4
Step3:
LCM(4, 320) = 320
GCD(4, 320) = ( 4 x 320 ) / 320
= 4 / 320
= 4
So, Greatest Common Divisor of 560, 348, 928, 320 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 560, 348, 928, 320
The greatest common divisor of numbers 560, 348, 928, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 348, 928, 320 is 4.
1. What is the GCD of 560, 348, 928, 320?
GCD of given numbers 560, 348, 928, 320 is 4
2. How to calculate the greatest common divisor of 560, 348, 928, 320?
We can find the highest common divisor of 560, 348, 928, 320 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, 928, 320 i.e 4.
3. How can I use the GCD of 560, 348, 928, 320Calculator?
Out the numbers 560, 348, 928, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.