Online GCD Calculator is useful to find the GCD of 688, 442, 420, 608 quickly. Get the easiest ways to solve the greatest common divisor of 688, 442, 420, 608 i.e 2 in different methods as follows.
Given Input numbers are 688, 442, 420, 608
In the factoring method, we have to find the divisors of all numbers
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 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
GCD of numbers is the greatest common divisor
So, the GCD (688, 442, 420, 608) = 2.
Given numbers are 688, 442, 420, 608
The list of prime factors of all numbers are
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 442 are 2 x 13 x 17
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
The highest common occurrence is 21
Therefore, GCD of 688, 442, 420, 608 is 2.
Given numbers are 688, 442, 420, 608
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(688, 442) = 152048
GCD(688, 442) = ( 688 x 442 ) / 152048
= 688 / 442
= 688
Step2:
LCM(2, 420) = 420
GCD(2, 420) = ( 2 x 420 ) / 420
= 2 / 420
= 2
Step3:
LCM(2, 608) = 608
GCD(2, 608) = ( 2 x 608 ) / 608
= 2 / 608
= 2
So, Greatest Common Divisor of 688, 442, 420, 608 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 688, 442, 420, 608
The greatest common divisor of numbers 688, 442, 420, 608 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 442, 420, 608 is 2.
1. What is the GCD of 688, 442, 420, 608?
GCD of given numbers 688, 442, 420, 608 is 2
2. How to calculate the greatest common divisor of 688, 442, 420, 608?
We can find the highest common divisor of 688, 442, 420, 608 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 688, 442, 420, 608 i.e 2.
3. How can I use the GCD of 688, 442, 420, 608Calculator?
Out the numbers 688, 442, 420, 608 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.