Online GCD Calculator is useful to find the GCD of 560, 467, 498, 228 quickly. Get the easiest ways to solve the greatest common divisor of 560, 467, 498, 228 i.e 1 in different methods as follows.
Given Input numbers are 560, 467, 498, 228
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 467 :
The positive integer divisors of 467 that completely divides 467 are.
1, 467
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
GCD of numbers is the greatest common divisor
So, the GCD (560, 467, 498, 228) = 1.
Given numbers are 560, 467, 498, 228
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 467 are 467
Prime factors of 498 are 2 x 3 x 83
Prime factors of 228 are 2 x 2 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 560, 467, 498, 228
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(560, 467) = 261520
GCD(560, 467) = ( 560 x 467 ) / 261520
= 560 / 467
= 560
Step2:
LCM(1, 498) = 498
GCD(1, 498) = ( 1 x 498 ) / 498
= 1 / 498
= 1
Step3:
LCM(1, 228) = 228
GCD(1, 228) = ( 1 x 228 ) / 228
= 1 / 228
= 1
So, Greatest Common Divisor of 560, 467, 498, 228 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 560, 467, 498, 228
The greatest common divisor of numbers 560, 467, 498, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 467, 498, 228 is 1.
1. What is the GCD of 560, 467, 498, 228?
GCD of given numbers 560, 467, 498, 228 is 1
2. How to calculate the greatest common divisor of 560, 467, 498, 228?
We can find the highest common divisor of 560, 467, 498, 228 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, 467, 498, 228 i.e 1.
3. How can I use the GCD of 560, 467, 498, 228Calculator?
Out the numbers 560, 467, 498, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.