Online GCD Calculator is useful to find the GCD of 417, 789, 490, 420 quickly. Get the easiest ways to solve the greatest common divisor of 417, 789, 490, 420 i.e 1 in different methods as follows.
Given Input numbers are 417, 789, 490, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 417 :
The positive integer divisors of 417 that completely divides 417 are.
1, 3, 139, 417
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
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 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (417, 789, 490, 420) = 1.
Given numbers are 417, 789, 490, 420
The list of prime factors of all numbers are
Prime factors of 417 are 3 x 139
Prime factors of 789 are 3 x 263
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 417, 789, 490, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(417, 789) = 109671
GCD(417, 789) = ( 417 x 789 ) / 109671
= 417 / 789
= 417
Step2:
LCM(3, 490) = 1470
GCD(3, 490) = ( 3 x 490 ) / 1470
= 3 / 490
= 3
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 417, 789, 490, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 417, 789, 490, 420
The greatest common divisor of numbers 417, 789, 490, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 417, 789, 490, 420 is 1.
1. What is the GCD of 417, 789, 490, 420?
GCD of given numbers 417, 789, 490, 420 is 1
2. How to calculate the greatest common divisor of 417, 789, 490, 420?
We can find the highest common divisor of 417, 789, 490, 420 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 417, 789, 490, 420 i.e 1.
3. How can I use the GCD of 417, 789, 490, 420Calculator?
Out the numbers 417, 789, 490, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.