Online GCD Calculator is useful to find the GCD of 980, 800, 105, 459 quickly. Get the easiest ways to solve the greatest common divisor of 980, 800, 105, 459 i.e 1 in different methods as follows.
Given Input numbers are 980, 800, 105, 459
In the factoring method, we have to find the divisors of all numbers
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 459 :
The positive integer divisors of 459 that completely divides 459 are.
1, 3, 9, 17, 27, 51, 153, 459
GCD of numbers is the greatest common divisor
So, the GCD (980, 800, 105, 459) = 1.
Given numbers are 980, 800, 105, 459
The list of prime factors of all numbers are
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 105 are 3 x 5 x 7
Prime factors of 459 are 3 x 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 980, 800, 105, 459
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(980, 800) = 39200
GCD(980, 800) = ( 980 x 800 ) / 39200
= 980 / 800
= 980
Step2:
LCM(20, 105) = 420
GCD(20, 105) = ( 20 x 105 ) / 420
= 20 / 105
= 20
Step3:
LCM(5, 459) = 2295
GCD(5, 459) = ( 5 x 459 ) / 2295
= 5 / 459
= 5
So, Greatest Common Divisor of 980, 800, 105, 459 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 980, 800, 105, 459
The greatest common divisor of numbers 980, 800, 105, 459 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 800, 105, 459 is 1.
1. What is the GCD of 980, 800, 105, 459?
GCD of given numbers 980, 800, 105, 459 is 1
2. How to calculate the greatest common divisor of 980, 800, 105, 459?
We can find the highest common divisor of 980, 800, 105, 459 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 980, 800, 105, 459 i.e 1.
3. How can I use the GCD of 980, 800, 105, 459Calculator?
Out the numbers 980, 800, 105, 459 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.