Online GCD Calculator is useful to find the GCD of 714, 680, 510 quickly. Get the easiest ways to solve the greatest common divisor of 714, 680, 510 i.e 34 in different methods as follows.
Given Input numbers are 714, 680, 510
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 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 510 :
The positive integer divisors of 510 that completely divides 510 are.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
GCD of numbers is the greatest common divisor
So, the GCD (714, 680, 510) = 34.
Given numbers are 714, 680, 510
The list of prime factors of all numbers are
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 510 are 2 x 3 x 5 x 17
The highest common occurrence is 171 x 21
Therefore, GCD of 714, 680, 510 is 34.
Given numbers are 714, 680, 510
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(714, 680) = 14280
GCD(714, 680) = ( 714 x 680 ) / 14280
= 714 / 680
= 714
Step2:
LCM(34, 510) = 510
GCD(34, 510) = ( 34 x 510 ) / 510
= 34 / 510
= 34
So, Greatest Common Divisor of 714, 680, 510 is 34
Here are some samples of GCD of Numbers calculations.
Given numbers are 714, 680, 510
The greatest common divisor of numbers 714, 680, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 680, 510 is 34.
1. What is the GCD of 714, 680, 510?
GCD of given numbers 714, 680, 510 is 34
2. How to calculate the greatest common divisor of 714, 680, 510?
We can find the highest common divisor of 714, 680, 510 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, 680, 510 i.e 34.
3. How can I use the GCD of 714, 680, 510Calculator?
Out the numbers 714, 680, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.