Online GCD Calculator is useful to find the GCD of 610, 688, 422, 616 quickly. Get the easiest ways to solve the greatest common divisor of 610, 688, 422, 616 i.e 2 in different methods as follows.
Given Input numbers are 610, 688, 422, 616
In the factoring method, we have to find the divisors of all numbers
Divisors of 610 :
The positive integer divisors of 610 that completely divides 610 are.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
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
GCD of numbers is the greatest common divisor
So, the GCD (610, 688, 422, 616) = 2.
Given numbers are 610, 688, 422, 616
The list of prime factors of all numbers are
Prime factors of 610 are 2 x 5 x 61
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 422 are 2 x 211
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 610, 688, 422, 616 is 2.
Given numbers are 610, 688, 422, 616
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(610, 688) = 209840
GCD(610, 688) = ( 610 x 688 ) / 209840
= 610 / 688
= 610
Step2:
LCM(2, 422) = 422
GCD(2, 422) = ( 2 x 422 ) / 422
= 2 / 422
= 2
Step3:
LCM(2, 616) = 616
GCD(2, 616) = ( 2 x 616 ) / 616
= 2 / 616
= 2
So, Greatest Common Divisor of 610, 688, 422, 616 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 610, 688, 422, 616
The greatest common divisor of numbers 610, 688, 422, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 610, 688, 422, 616 is 2.
1. What is the GCD of 610, 688, 422, 616?
GCD of given numbers 610, 688, 422, 616 is 2
2. How to calculate the greatest common divisor of 610, 688, 422, 616?
We can find the highest common divisor of 610, 688, 422, 616 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 610, 688, 422, 616 i.e 2.
3. How can I use the GCD of 610, 688, 422, 616Calculator?
Out the numbers 610, 688, 422, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.