Online GCD Calculator is useful to find the GCD of 508, 296, 548, 766 quickly. Get the easiest ways to solve the greatest common divisor of 508, 296, 548, 766 i.e 2 in different methods as follows.
Given Input numbers are 508, 296, 548, 766
In the factoring method, we have to find the divisors of all numbers
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 766 :
The positive integer divisors of 766 that completely divides 766 are.
1, 2, 383, 766
GCD of numbers is the greatest common divisor
So, the GCD (508, 296, 548, 766) = 2.
Given numbers are 508, 296, 548, 766
The list of prime factors of all numbers are
Prime factors of 508 are 2 x 2 x 127
Prime factors of 296 are 2 x 2 x 2 x 37
Prime factors of 548 are 2 x 2 x 137
Prime factors of 766 are 2 x 383
The highest common occurrence is 21
Therefore, GCD of 508, 296, 548, 766 is 2.
Given numbers are 508, 296, 548, 766
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(508, 296) = 37592
GCD(508, 296) = ( 508 x 296 ) / 37592
= 508 / 296
= 508
Step2:
LCM(4, 548) = 548
GCD(4, 548) = ( 4 x 548 ) / 548
= 4 / 548
= 4
Step3:
LCM(4, 766) = 1532
GCD(4, 766) = ( 4 x 766 ) / 1532
= 4 / 766
= 4
So, Greatest Common Divisor of 508, 296, 548, 766 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 508, 296, 548, 766
The greatest common divisor of numbers 508, 296, 548, 766 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 296, 548, 766 is 2.
1. What is the GCD of 508, 296, 548, 766?
GCD of given numbers 508, 296, 548, 766 is 2
2. How to calculate the greatest common divisor of 508, 296, 548, 766?
We can find the highest common divisor of 508, 296, 548, 766 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 508, 296, 548, 766 i.e 2.
3. How can I use the GCD of 508, 296, 548, 766Calculator?
Out the numbers 508, 296, 548, 766 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.