Online GCD Calculator is useful to find the GCD of 240, 417, 421, 284 quickly. Get the easiest ways to solve the greatest common divisor of 240, 417, 421, 284 i.e 1 in different methods as follows.
Given Input numbers are 240, 417, 421, 284
In the factoring method, we have to find the divisors of all numbers
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 417 :
The positive integer divisors of 417 that completely divides 417 are.
1, 3, 139, 417
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
GCD of numbers is the greatest common divisor
So, the GCD (240, 417, 421, 284) = 1.
Given numbers are 240, 417, 421, 284
The list of prime factors of all numbers are
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 417 are 3 x 139
Prime factors of 421 are 421
Prime factors of 284 are 2 x 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 240, 417, 421, 284
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 417) = 33360
GCD(240, 417) = ( 240 x 417 ) / 33360
= 240 / 417
= 240
Step2:
LCM(3, 421) = 1263
GCD(3, 421) = ( 3 x 421 ) / 1263
= 3 / 421
= 3
Step3:
LCM(1, 284) = 284
GCD(1, 284) = ( 1 x 284 ) / 284
= 1 / 284
= 1
So, Greatest Common Divisor of 240, 417, 421, 284 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 417, 421, 284
The greatest common divisor of numbers 240, 417, 421, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 417, 421, 284 is 1.
1. What is the GCD of 240, 417, 421, 284?
GCD of given numbers 240, 417, 421, 284 is 1
2. How to calculate the greatest common divisor of 240, 417, 421, 284?
We can find the highest common divisor of 240, 417, 421, 284 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 240, 417, 421, 284 i.e 1.
3. How can I use the GCD of 240, 417, 421, 284Calculator?
Out the numbers 240, 417, 421, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.