Online GCD Calculator is useful to find the GCD of 460, 799, 710, 420 quickly. Get the easiest ways to solve the greatest common divisor of 460, 799, 710, 420 i.e 1 in different methods as follows.
Given Input numbers are 460, 799, 710, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 799 :
The positive integer divisors of 799 that completely divides 799 are.
1, 17, 47, 799
Divisors of 710 :
The positive integer divisors of 710 that completely divides 710 are.
1, 2, 5, 10, 71, 142, 355, 710
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 (460, 799, 710, 420) = 1.
Given numbers are 460, 799, 710, 420
The list of prime factors of all numbers are
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 799 are 17 x 47
Prime factors of 710 are 2 x 5 x 71
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 460, 799, 710, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(460, 799) = 367540
GCD(460, 799) = ( 460 x 799 ) / 367540
= 460 / 799
= 460
Step2:
LCM(1, 710) = 710
GCD(1, 710) = ( 1 x 710 ) / 710
= 1 / 710
= 1
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 460, 799, 710, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 460, 799, 710, 420
The greatest common divisor of numbers 460, 799, 710, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 799, 710, 420 is 1.
1. What is the GCD of 460, 799, 710, 420?
GCD of given numbers 460, 799, 710, 420 is 1
2. How to calculate the greatest common divisor of 460, 799, 710, 420?
We can find the highest common divisor of 460, 799, 710, 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 460, 799, 710, 420 i.e 1.
3. How can I use the GCD of 460, 799, 710, 420Calculator?
Out the numbers 460, 799, 710, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.