Online GCD Calculator is useful to find the GCD of 710, 720, 343, 514 quickly. Get the easiest ways to solve the greatest common divisor of 710, 720, 343, 514 i.e 1 in different methods as follows.
Given Input numbers are 710, 720, 343, 514
In the factoring method, we have to find the divisors of all numbers
Divisors of 710 :
The positive integer divisors of 710 that completely divides 710 are.
1, 2, 5, 10, 71, 142, 355, 710
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 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 514 :
The positive integer divisors of 514 that completely divides 514 are.
1, 2, 257, 514
GCD of numbers is the greatest common divisor
So, the GCD (710, 720, 343, 514) = 1.
Given numbers are 710, 720, 343, 514
The list of prime factors of all numbers are
Prime factors of 710 are 2 x 5 x 71
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 343 are 7 x 7 x 7
Prime factors of 514 are 2 x 257
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 710, 720, 343, 514
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(710, 720) = 51120
GCD(710, 720) = ( 710 x 720 ) / 51120
= 710 / 720
= 710
Step2:
LCM(10, 343) = 3430
GCD(10, 343) = ( 10 x 343 ) / 3430
= 10 / 343
= 10
Step3:
LCM(1, 514) = 514
GCD(1, 514) = ( 1 x 514 ) / 514
= 1 / 514
= 1
So, Greatest Common Divisor of 710, 720, 343, 514 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 710, 720, 343, 514
The greatest common divisor of numbers 710, 720, 343, 514 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 710, 720, 343, 514 is 1.
1. What is the GCD of 710, 720, 343, 514?
GCD of given numbers 710, 720, 343, 514 is 1
2. How to calculate the greatest common divisor of 710, 720, 343, 514?
We can find the highest common divisor of 710, 720, 343, 514 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 710, 720, 343, 514 i.e 1.
3. How can I use the GCD of 710, 720, 343, 514Calculator?
Out the numbers 710, 720, 343, 514 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.