Online GCD Calculator is useful to find the GCD of 682, 610, 112, 250 quickly. Get the easiest ways to solve the greatest common divisor of 682, 610, 112, 250 i.e 2 in different methods as follows.
Given Input numbers are 682, 610, 112, 250
In the factoring method, we have to find the divisors of all numbers
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 610 :
The positive integer divisors of 610 that completely divides 610 are.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
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 (682, 610, 112, 250) = 2.
Given numbers are 682, 610, 112, 250
The list of prime factors of all numbers are
Prime factors of 682 are 2 x 11 x 31
Prime factors of 610 are 2 x 5 x 61
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 250 are 2 x 5 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 682, 610, 112, 250 is 2.
Given numbers are 682, 610, 112, 250
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(682, 610) = 208010
GCD(682, 610) = ( 682 x 610 ) / 208010
= 682 / 610
= 682
Step2:
LCM(2, 112) = 112
GCD(2, 112) = ( 2 x 112 ) / 112
= 2 / 112
= 2
Step3:
LCM(2, 250) = 250
GCD(2, 250) = ( 2 x 250 ) / 250
= 2 / 250
= 2
So, Greatest Common Divisor of 682, 610, 112, 250 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 682, 610, 112, 250
The greatest common divisor of numbers 682, 610, 112, 250 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 610, 112, 250 is 2.
1. What is the GCD of 682, 610, 112, 250?
GCD of given numbers 682, 610, 112, 250 is 2
2. How to calculate the greatest common divisor of 682, 610, 112, 250?
We can find the highest common divisor of 682, 610, 112, 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 682, 610, 112, 250 i.e 2.
3. How can I use the GCD of 682, 610, 112, 250Calculator?
Out the numbers 682, 610, 112, 250 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.