Online GCD Calculator is useful to find the GCD of 748, 249, 234, 697 quickly. Get the easiest ways to solve the greatest common divisor of 748, 249, 234, 697 i.e 1 in different methods as follows.
Given Input numbers are 748, 249, 234, 697
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 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
GCD of numbers is the greatest common divisor
So, the GCD (748, 249, 234, 697) = 1.
Given numbers are 748, 249, 234, 697
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 249 are 3 x 83
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 697 are 17 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 249, 234, 697
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 249) = 186252
GCD(748, 249) = ( 748 x 249 ) / 186252
= 748 / 249
= 748
Step2:
LCM(1, 234) = 234
GCD(1, 234) = ( 1 x 234 ) / 234
= 1 / 234
= 1
Step3:
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
= 1 / 697
= 1
So, Greatest Common Divisor of 748, 249, 234, 697 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 249, 234, 697
The greatest common divisor of numbers 748, 249, 234, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 249, 234, 697 is 1.
1. What is the GCD of 748, 249, 234, 697?
GCD of given numbers 748, 249, 234, 697 is 1
2. How to calculate the greatest common divisor of 748, 249, 234, 697?
We can find the highest common divisor of 748, 249, 234, 697 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, 249, 234, 697 i.e 1.
3. How can I use the GCD of 748, 249, 234, 697Calculator?
Out the numbers 748, 249, 234, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.