Online GCD Calculator is useful to find the GCD of 855, 280, 289, 421 quickly. Get the easiest ways to solve the greatest common divisor of 855, 280, 289, 421 i.e 1 in different methods as follows.
Given Input numbers are 855, 280, 289, 421
In the factoring method, we have to find the divisors of all numbers
Divisors of 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
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 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
GCD of numbers is the greatest common divisor
So, the GCD (855, 280, 289, 421) = 1.
Given numbers are 855, 280, 289, 421
The list of prime factors of all numbers are
Prime factors of 855 are 3 x 3 x 5 x 19
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 289 are 17 x 17
Prime factors of 421 are 421
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 855, 280, 289, 421
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(855, 280) = 47880
GCD(855, 280) = ( 855 x 280 ) / 47880
= 855 / 280
= 855
Step2:
LCM(5, 289) = 1445
GCD(5, 289) = ( 5 x 289 ) / 1445
= 5 / 289
= 5
Step3:
LCM(1, 421) = 421
GCD(1, 421) = ( 1 x 421 ) / 421
= 1 / 421
= 1
So, Greatest Common Divisor of 855, 280, 289, 421 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 855, 280, 289, 421
The greatest common divisor of numbers 855, 280, 289, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 855, 280, 289, 421 is 1.
1. What is the GCD of 855, 280, 289, 421?
GCD of given numbers 855, 280, 289, 421 is 1
2. How to calculate the greatest common divisor of 855, 280, 289, 421?
We can find the highest common divisor of 855, 280, 289, 421 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 855, 280, 289, 421 i.e 1.
3. How can I use the GCD of 855, 280, 289, 421Calculator?
Out the numbers 855, 280, 289, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.