Online GCD Calculator is useful to find the GCD of 518, 762, 600, 680 quickly. Get the easiest ways to solve the greatest common divisor of 518, 762, 600, 680 i.e 2 in different methods as follows.
Given Input numbers are 518, 762, 600, 680
In the factoring method, we have to find the divisors of all numbers
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
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
GCD of numbers is the greatest common divisor
So, the GCD (518, 762, 600, 680) = 2.
Given numbers are 518, 762, 600, 680
The list of prime factors of all numbers are
Prime factors of 518 are 2 x 7 x 37
Prime factors of 762 are 2 x 3 x 127
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 518, 762, 600, 680 is 2.
Given numbers are 518, 762, 600, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(518, 762) = 197358
GCD(518, 762) = ( 518 x 762 ) / 197358
= 518 / 762
= 518
Step2:
LCM(2, 600) = 600
GCD(2, 600) = ( 2 x 600 ) / 600
= 2 / 600
= 2
Step3:
LCM(2, 680) = 680
GCD(2, 680) = ( 2 x 680 ) / 680
= 2 / 680
= 2
So, Greatest Common Divisor of 518, 762, 600, 680 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 518, 762, 600, 680
The greatest common divisor of numbers 518, 762, 600, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 518, 762, 600, 680 is 2.
1. What is the GCD of 518, 762, 600, 680?
GCD of given numbers 518, 762, 600, 680 is 2
2. How to calculate the greatest common divisor of 518, 762, 600, 680?
We can find the highest common divisor of 518, 762, 600, 680 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 518, 762, 600, 680 i.e 2.
3. How can I use the GCD of 518, 762, 600, 680Calculator?
Out the numbers 518, 762, 600, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.