Online GCD Calculator is useful to find the GCD of 714, 320, 301, 490 quickly. Get the easiest ways to solve the greatest common divisor of 714, 320, 301, 490 i.e 1 in different methods as follows.
Given Input numbers are 714, 320, 301, 490
In the factoring method, we have to find the divisors of all numbers
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 301 :
The positive integer divisors of 301 that completely divides 301 are.
1, 7, 43, 301
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
GCD of numbers is the greatest common divisor
So, the GCD (714, 320, 301, 490) = 1.
Given numbers are 714, 320, 301, 490
The list of prime factors of all numbers are
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 301 are 7 x 43
Prime factors of 490 are 2 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 714, 320, 301, 490
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(714, 320) = 114240
GCD(714, 320) = ( 714 x 320 ) / 114240
= 714 / 320
= 714
Step2:
LCM(2, 301) = 602
GCD(2, 301) = ( 2 x 301 ) / 602
= 2 / 301
= 2
Step3:
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
= 1 / 490
= 1
So, Greatest Common Divisor of 714, 320, 301, 490 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 714, 320, 301, 490
The greatest common divisor of numbers 714, 320, 301, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 320, 301, 490 is 1.
1. What is the GCD of 714, 320, 301, 490?
GCD of given numbers 714, 320, 301, 490 is 1
2. How to calculate the greatest common divisor of 714, 320, 301, 490?
We can find the highest common divisor of 714, 320, 301, 490 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 714, 320, 301, 490 i.e 1.
3. How can I use the GCD of 714, 320, 301, 490Calculator?
Out the numbers 714, 320, 301, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.