Online GCD Calculator is useful to find the GCD of 766, 808, 508, 634 quickly. Get the easiest ways to solve the greatest common divisor of 766, 808, 508, 634 i.e 2 in different methods as follows.
Given Input numbers are 766, 808, 508, 634
In the factoring method, we have to find the divisors of all numbers
Divisors of 766 :
The positive integer divisors of 766 that completely divides 766 are.
1, 2, 383, 766
Divisors of 808 :
The positive integer divisors of 808 that completely divides 808 are.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 634 :
The positive integer divisors of 634 that completely divides 634 are.
1, 2, 317, 634
GCD of numbers is the greatest common divisor
So, the GCD (766, 808, 508, 634) = 2.
Given numbers are 766, 808, 508, 634
The list of prime factors of all numbers are
Prime factors of 766 are 2 x 383
Prime factors of 808 are 2 x 2 x 2 x 101
Prime factors of 508 are 2 x 2 x 127
Prime factors of 634 are 2 x 317
The highest common occurrence is 21
Therefore, GCD of 766, 808, 508, 634 is 2.
Given numbers are 766, 808, 508, 634
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(766, 808) = 309464
GCD(766, 808) = ( 766 x 808 ) / 309464
= 766 / 808
= 766
Step2:
LCM(2, 508) = 508
GCD(2, 508) = ( 2 x 508 ) / 508
= 2 / 508
= 2
Step3:
LCM(2, 634) = 634
GCD(2, 634) = ( 2 x 634 ) / 634
= 2 / 634
= 2
So, Greatest Common Divisor of 766, 808, 508, 634 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 766, 808, 508, 634
The greatest common divisor of numbers 766, 808, 508, 634 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 766, 808, 508, 634 is 2.
1. What is the GCD of 766, 808, 508, 634?
GCD of given numbers 766, 808, 508, 634 is 2
2. How to calculate the greatest common divisor of 766, 808, 508, 634?
We can find the highest common divisor of 766, 808, 508, 634 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 766, 808, 508, 634 i.e 2.
3. How can I use the GCD of 766, 808, 508, 634Calculator?
Out the numbers 766, 808, 508, 634 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.