Online GCD Calculator is useful to find the GCD of 993, 349, 520, 748 quickly. Get the easiest ways to solve the greatest common divisor of 993, 349, 520, 748 i.e 1 in different methods as follows.
Given Input numbers are 993, 349, 520, 748
In the factoring method, we have to find the divisors of all numbers
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
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
GCD of numbers is the greatest common divisor
So, the GCD (993, 349, 520, 748) = 1.
Given numbers are 993, 349, 520, 748
The list of prime factors of all numbers are
Prime factors of 993 are 3 x 331
Prime factors of 349 are 349
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 748 are 2 x 2 x 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 993, 349, 520, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(993, 349) = 346557
GCD(993, 349) = ( 993 x 349 ) / 346557
= 993 / 349
= 993
Step2:
LCM(1, 520) = 520
GCD(1, 520) = ( 1 x 520 ) / 520
= 1 / 520
= 1
Step3:
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
= 1 / 748
= 1
So, Greatest Common Divisor of 993, 349, 520, 748 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 993, 349, 520, 748
The greatest common divisor of numbers 993, 349, 520, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 349, 520, 748 is 1.
1. What is the GCD of 993, 349, 520, 748?
GCD of given numbers 993, 349, 520, 748 is 1
2. How to calculate the greatest common divisor of 993, 349, 520, 748?
We can find the highest common divisor of 993, 349, 520, 748 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 993, 349, 520, 748 i.e 1.
3. How can I use the GCD of 993, 349, 520, 748Calculator?
Out the numbers 993, 349, 520, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.