Online GCD Calculator is useful to find the GCD of 510, 342, 616, 250 quickly. Get the easiest ways to solve the greatest common divisor of 510, 342, 616, 250 i.e 2 in different methods as follows.
Given Input numbers are 510, 342, 616, 250
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 250 :
The positive integer divisors of 250 that completely divides 250 are.
1, 2, 5, 10, 25, 50, 125, 250
GCD of numbers is the greatest common divisor
So, the GCD (510, 342, 616, 250) = 2.
Given numbers are 510, 342, 616, 250
The list of prime factors of all numbers are
Prime factors of 510 are 2 x 3 x 5 x 17
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 250 are 2 x 5 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 510, 342, 616, 250 is 2.
Given numbers are 510, 342, 616, 250
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(510, 342) = 29070
GCD(510, 342) = ( 510 x 342 ) / 29070
= 510 / 342
= 510
Step2:
LCM(6, 616) = 1848
GCD(6, 616) = ( 6 x 616 ) / 1848
= 6 / 616
= 6
Step3:
LCM(2, 250) = 250
GCD(2, 250) = ( 2 x 250 ) / 250
= 2 / 250
= 2
So, Greatest Common Divisor of 510, 342, 616, 250 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 510, 342, 616, 250
The greatest common divisor of numbers 510, 342, 616, 250 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 342, 616, 250 is 2.
1. What is the GCD of 510, 342, 616, 250?
GCD of given numbers 510, 342, 616, 250 is 2
2. How to calculate the greatest common divisor of 510, 342, 616, 250?
We can find the highest common divisor of 510, 342, 616, 250 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 510, 342, 616, 250 i.e 2.
3. How can I use the GCD of 510, 342, 616, 250Calculator?
Out the numbers 510, 342, 616, 250 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.