Online GCD Calculator is useful to find the GCD of 250, 430, 486, 706 quickly. Get the easiest ways to solve the greatest common divisor of 250, 430, 486, 706 i.e 2 in different methods as follows.
Given Input numbers are 250, 430, 486, 706
In the factoring method, we have to find the divisors of all numbers
Divisors of 250 :
The positive integer divisors of 250 that completely divides 250 are.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 430 :
The positive integer divisors of 430 that completely divides 430 are.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
GCD of numbers is the greatest common divisor
So, the GCD (250, 430, 486, 706) = 2.
Given numbers are 250, 430, 486, 706
The list of prime factors of all numbers are
Prime factors of 250 are 2 x 5 x 5 x 5
Prime factors of 430 are 2 x 5 x 43
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 706 are 2 x 353
The highest common occurrence is 21
Therefore, GCD of 250, 430, 486, 706 is 2.
Given numbers are 250, 430, 486, 706
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(250, 430) = 10750
GCD(250, 430) = ( 250 x 430 ) / 10750
= 250 / 430
= 250
Step2:
LCM(10, 486) = 2430
GCD(10, 486) = ( 10 x 486 ) / 2430
= 10 / 486
= 10
Step3:
LCM(2, 706) = 706
GCD(2, 706) = ( 2 x 706 ) / 706
= 2 / 706
= 2
So, Greatest Common Divisor of 250, 430, 486, 706 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 250, 430, 486, 706
The greatest common divisor of numbers 250, 430, 486, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 250, 430, 486, 706 is 2.
1. What is the GCD of 250, 430, 486, 706?
GCD of given numbers 250, 430, 486, 706 is 2
2. How to calculate the greatest common divisor of 250, 430, 486, 706?
We can find the highest common divisor of 250, 430, 486, 706 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 250, 430, 486, 706 i.e 2.
3. How can I use the GCD of 250, 430, 486, 706Calculator?
Out the numbers 250, 430, 486, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.