Online GCD Calculator is useful to find the GCD of 498, 280, 471, 398 quickly. Get the easiest ways to solve the greatest common divisor of 498, 280, 471, 398 i.e 1 in different methods as follows.
Given Input numbers are 498, 280, 471, 398
In the factoring method, we have to find the divisors of all numbers
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
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 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
GCD of numbers is the greatest common divisor
So, the GCD (498, 280, 471, 398) = 1.
Given numbers are 498, 280, 471, 398
The list of prime factors of all numbers are
Prime factors of 498 are 2 x 3 x 83
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 471 are 3 x 157
Prime factors of 398 are 2 x 199
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 498, 280, 471, 398
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(498, 280) = 69720
GCD(498, 280) = ( 498 x 280 ) / 69720
= 498 / 280
= 498
Step2:
LCM(2, 471) = 942
GCD(2, 471) = ( 2 x 471 ) / 942
= 2 / 471
= 2
Step3:
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
= 1 / 398
= 1
So, Greatest Common Divisor of 498, 280, 471, 398 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 498, 280, 471, 398
The greatest common divisor of numbers 498, 280, 471, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 280, 471, 398 is 1.
1. What is the GCD of 498, 280, 471, 398?
GCD of given numbers 498, 280, 471, 398 is 1
2. How to calculate the greatest common divisor of 498, 280, 471, 398?
We can find the highest common divisor of 498, 280, 471, 398 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 498, 280, 471, 398 i.e 1.
3. How can I use the GCD of 498, 280, 471, 398Calculator?
Out the numbers 498, 280, 471, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.