Online GCD Calculator is useful to find the GCD of 748, 326, 145, 508 quickly. Get the easiest ways to solve the greatest common divisor of 748, 326, 145, 508 i.e 1 in different methods as follows.
Given Input numbers are 748, 326, 145, 508
In the factoring method, we have to find the divisors of all numbers
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 326 :
The positive integer divisors of 326 that completely divides 326 are.
1, 2, 163, 326
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
GCD of numbers is the greatest common divisor
So, the GCD (748, 326, 145, 508) = 1.
Given numbers are 748, 326, 145, 508
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 326 are 2 x 163
Prime factors of 145 are 5 x 29
Prime factors of 508 are 2 x 2 x 127
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 326, 145, 508
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 326) = 121924
GCD(748, 326) = ( 748 x 326 ) / 121924
= 748 / 326
= 748
Step2:
LCM(2, 145) = 290
GCD(2, 145) = ( 2 x 145 ) / 290
= 2 / 145
= 2
Step3:
LCM(1, 508) = 508
GCD(1, 508) = ( 1 x 508 ) / 508
= 1 / 508
= 1
So, Greatest Common Divisor of 748, 326, 145, 508 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 326, 145, 508
The greatest common divisor of numbers 748, 326, 145, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 326, 145, 508 is 1.
1. What is the GCD of 748, 326, 145, 508?
GCD of given numbers 748, 326, 145, 508 is 1
2. How to calculate the greatest common divisor of 748, 326, 145, 508?
We can find the highest common divisor of 748, 326, 145, 508 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 748, 326, 145, 508 i.e 1.
3. How can I use the GCD of 748, 326, 145, 508Calculator?
Out the numbers 748, 326, 145, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.