Online GCD Calculator is useful to find the GCD of 420, 791, 351, 470 quickly. Get the easiest ways to solve the greatest common divisor of 420, 791, 351, 470 i.e 1 in different methods as follows.
Given Input numbers are 420, 791, 351, 470
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 791 :
The positive integer divisors of 791 that completely divides 791 are.
1, 7, 113, 791
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
GCD of numbers is the greatest common divisor
So, the GCD (420, 791, 351, 470) = 1.
Given numbers are 420, 791, 351, 470
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 791 are 7 x 113
Prime factors of 351 are 3 x 3 x 3 x 13
Prime factors of 470 are 2 x 5 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 791, 351, 470
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 791) = 47460
GCD(420, 791) = ( 420 x 791 ) / 47460
= 420 / 791
= 420
Step2:
LCM(7, 351) = 2457
GCD(7, 351) = ( 7 x 351 ) / 2457
= 7 / 351
= 7
Step3:
LCM(1, 470) = 470
GCD(1, 470) = ( 1 x 470 ) / 470
= 1 / 470
= 1
So, Greatest Common Divisor of 420, 791, 351, 470 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 791, 351, 470
The greatest common divisor of numbers 420, 791, 351, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 791, 351, 470 is 1.
1. What is the GCD of 420, 791, 351, 470?
GCD of given numbers 420, 791, 351, 470 is 1
2. How to calculate the greatest common divisor of 420, 791, 351, 470?
We can find the highest common divisor of 420, 791, 351, 470 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 420, 791, 351, 470 i.e 1.
3. How can I use the GCD of 420, 791, 351, 470Calculator?
Out the numbers 420, 791, 351, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.