Online GCD Calculator is useful to find the GCD of 334, 470, 720, 493 quickly. Get the easiest ways to solve the greatest common divisor of 334, 470, 720, 493 i.e 1 in different methods as follows.
Given Input numbers are 334, 470, 720, 493
In the factoring method, we have to find the divisors of all numbers
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
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
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
GCD of numbers is the greatest common divisor
So, the GCD (334, 470, 720, 493) = 1.
Given numbers are 334, 470, 720, 493
The list of prime factors of all numbers are
Prime factors of 334 are 2 x 167
Prime factors of 470 are 2 x 5 x 47
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 493 are 17 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 334, 470, 720, 493
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(334, 470) = 78490
GCD(334, 470) = ( 334 x 470 ) / 78490
= 334 / 470
= 334
Step2:
LCM(2, 720) = 720
GCD(2, 720) = ( 2 x 720 ) / 720
= 2 / 720
= 2
Step3:
LCM(2, 493) = 986
GCD(2, 493) = ( 2 x 493 ) / 986
= 2 / 493
= 2
So, Greatest Common Divisor of 334, 470, 720, 493 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 334, 470, 720, 493
The greatest common divisor of numbers 334, 470, 720, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 334, 470, 720, 493 is 1.
1. What is the GCD of 334, 470, 720, 493?
GCD of given numbers 334, 470, 720, 493 is 1
2. How to calculate the greatest common divisor of 334, 470, 720, 493?
We can find the highest common divisor of 334, 470, 720, 493 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 334, 470, 720, 493 i.e 1.
3. How can I use the GCD of 334, 470, 720, 493Calculator?
Out the numbers 334, 470, 720, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.