Online GCD Calculator is useful to find the GCD of 469, 460, 701, 720 quickly. Get the easiest ways to solve the greatest common divisor of 469, 460, 701, 720 i.e 1 in different methods as follows.
Given Input numbers are 469, 460, 701, 720
In the factoring method, we have to find the divisors of all numbers
Divisors of 469 :
The positive integer divisors of 469 that completely divides 469 are.
1, 7, 67, 469
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 701 :
The positive integer divisors of 701 that completely divides 701 are.
1, 701
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
GCD of numbers is the greatest common divisor
So, the GCD (469, 460, 701, 720) = 1.
Given numbers are 469, 460, 701, 720
The list of prime factors of all numbers are
Prime factors of 469 are 7 x 67
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 701 are 701
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 469, 460, 701, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(469, 460) = 215740
GCD(469, 460) = ( 469 x 460 ) / 215740
= 469 / 460
= 469
Step2:
LCM(1, 701) = 701
GCD(1, 701) = ( 1 x 701 ) / 701
= 1 / 701
= 1
Step3:
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
= 1 / 720
= 1
So, Greatest Common Divisor of 469, 460, 701, 720 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 469, 460, 701, 720
The greatest common divisor of numbers 469, 460, 701, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 469, 460, 701, 720 is 1.
1. What is the GCD of 469, 460, 701, 720?
GCD of given numbers 469, 460, 701, 720 is 1
2. How to calculate the greatest common divisor of 469, 460, 701, 720?
We can find the highest common divisor of 469, 460, 701, 720 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 469, 460, 701, 720 i.e 1.
3. How can I use the GCD of 469, 460, 701, 720Calculator?
Out the numbers 469, 460, 701, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.