Online GCD Calculator is useful to find the GCD of 280, 558, 320, 470 quickly. Get the easiest ways to solve the greatest common divisor of 280, 558, 320, 470 i.e 2 in different methods as follows.
Given Input numbers are 280, 558, 320, 470
In the factoring method, we have to find the divisors of all numbers
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
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
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
GCD of numbers is the greatest common divisor
So, the GCD (280, 558, 320, 470) = 2.
Given numbers are 280, 558, 320, 470
The list of prime factors of all numbers are
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 470 are 2 x 5 x 47
The highest common occurrence is 21
Therefore, GCD of 280, 558, 320, 470 is 2.
Given numbers are 280, 558, 320, 470
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(280, 558) = 78120
GCD(280, 558) = ( 280 x 558 ) / 78120
= 280 / 558
= 280
Step2:
LCM(2, 320) = 320
GCD(2, 320) = ( 2 x 320 ) / 320
= 2 / 320
= 2
Step3:
LCM(2, 470) = 470
GCD(2, 470) = ( 2 x 470 ) / 470
= 2 / 470
= 2
So, Greatest Common Divisor of 280, 558, 320, 470 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 280, 558, 320, 470
The greatest common divisor of numbers 280, 558, 320, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 558, 320, 470 is 2.
1. What is the GCD of 280, 558, 320, 470?
GCD of given numbers 280, 558, 320, 470 is 2
2. How to calculate the greatest common divisor of 280, 558, 320, 470?
We can find the highest common divisor of 280, 558, 320, 470 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 280, 558, 320, 470 i.e 2.
3. How can I use the GCD of 280, 558, 320, 470Calculator?
Out the numbers 280, 558, 320, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.