Online GCD Calculator is useful to find the GCD of 808, 400, 532, 718 quickly. Get the easiest ways to solve the greatest common divisor of 808, 400, 532, 718 i.e 2 in different methods as follows.
Given Input numbers are 808, 400, 532, 718
In the factoring method, we have to find the divisors of all numbers
Divisors of 808 :
The positive integer divisors of 808 that completely divides 808 are.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
GCD of numbers is the greatest common divisor
So, the GCD (808, 400, 532, 718) = 2.
Given numbers are 808, 400, 532, 718
The list of prime factors of all numbers are
Prime factors of 808 are 2 x 2 x 2 x 101
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 718 are 2 x 359
The highest common occurrence is 21
Therefore, GCD of 808, 400, 532, 718 is 2.
Given numbers are 808, 400, 532, 718
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(808, 400) = 40400
GCD(808, 400) = ( 808 x 400 ) / 40400
= 808 / 400
= 808
Step2:
LCM(8, 532) = 1064
GCD(8, 532) = ( 8 x 532 ) / 1064
= 8 / 532
= 8
Step3:
LCM(4, 718) = 1436
GCD(4, 718) = ( 4 x 718 ) / 1436
= 4 / 718
= 4
So, Greatest Common Divisor of 808, 400, 532, 718 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 808, 400, 532, 718
The greatest common divisor of numbers 808, 400, 532, 718 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 808, 400, 532, 718 is 2.
1. What is the GCD of 808, 400, 532, 718?
GCD of given numbers 808, 400, 532, 718 is 2
2. How to calculate the greatest common divisor of 808, 400, 532, 718?
We can find the highest common divisor of 808, 400, 532, 718 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 808, 400, 532, 718 i.e 2.
3. How can I use the GCD of 808, 400, 532, 718Calculator?
Out the numbers 808, 400, 532, 718 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.