Online GCD Calculator is useful to find the GCD of 820, 490, 809, 280 quickly. Get the easiest ways to solve the greatest common divisor of 820, 490, 809, 280 i.e 1 in different methods as follows.
Given Input numbers are 820, 490, 809, 280
In the factoring method, we have to find the divisors of all numbers
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 809 :
The positive integer divisors of 809 that completely divides 809 are.
1, 809
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
GCD of numbers is the greatest common divisor
So, the GCD (820, 490, 809, 280) = 1.
Given numbers are 820, 490, 809, 280
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 809 are 809
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 820, 490, 809, 280
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 490) = 40180
GCD(820, 490) = ( 820 x 490 ) / 40180
= 820 / 490
= 820
Step2:
LCM(10, 809) = 8090
GCD(10, 809) = ( 10 x 809 ) / 8090
= 10 / 809
= 10
Step3:
LCM(1, 280) = 280
GCD(1, 280) = ( 1 x 280 ) / 280
= 1 / 280
= 1
So, Greatest Common Divisor of 820, 490, 809, 280 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 490, 809, 280
The greatest common divisor of numbers 820, 490, 809, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 490, 809, 280 is 1.
1. What is the GCD of 820, 490, 809, 280?
GCD of given numbers 820, 490, 809, 280 is 1
2. How to calculate the greatest common divisor of 820, 490, 809, 280?
We can find the highest common divisor of 820, 490, 809, 280 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 820, 490, 809, 280 i.e 1.
3. How can I use the GCD of 820, 490, 809, 280Calculator?
Out the numbers 820, 490, 809, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.