Online GCD Calculator is useful to find the GCD of 518, 650, 690, 302 quickly. Get the easiest ways to solve the greatest common divisor of 518, 650, 690, 302 i.e 2 in different methods as follows.
Given Input numbers are 518, 650, 690, 302
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 650 :
The positive integer divisors of 650 that completely divides 650 are.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
GCD of numbers is the greatest common divisor
So, the GCD (518, 650, 690, 302) = 2.
Given numbers are 518, 650, 690, 302
The list of prime factors of all numbers are
Prime factors of 518 are 2 x 7 x 37
Prime factors of 650 are 2 x 5 x 5 x 13
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 302 are 2 x 151
The highest common occurrence is 21
Therefore, GCD of 518, 650, 690, 302 is 2.
Given numbers are 518, 650, 690, 302
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(518, 650) = 168350
GCD(518, 650) = ( 518 x 650 ) / 168350
= 518 / 650
= 518
Step2:
LCM(2, 690) = 690
GCD(2, 690) = ( 2 x 690 ) / 690
= 2 / 690
= 2
Step3:
LCM(2, 302) = 302
GCD(2, 302) = ( 2 x 302 ) / 302
= 2 / 302
= 2
So, Greatest Common Divisor of 518, 650, 690, 302 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 518, 650, 690, 302
The greatest common divisor of numbers 518, 650, 690, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 518, 650, 690, 302 is 2.
1. What is the GCD of 518, 650, 690, 302?
GCD of given numbers 518, 650, 690, 302 is 2
2. How to calculate the greatest common divisor of 518, 650, 690, 302?
We can find the highest common divisor of 518, 650, 690, 302 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, 650, 690, 302 i.e 2.
3. How can I use the GCD of 518, 650, 690, 302Calculator?
Out the numbers 518, 650, 690, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.