Online GCD Calculator is useful to find the GCD of 748, 533, 414, 248 quickly. Get the easiest ways to solve the greatest common divisor of 748, 533, 414, 248 i.e 1 in different methods as follows.
Given Input numbers are 748, 533, 414, 248
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 533 :
The positive integer divisors of 533 that completely divides 533 are.
1, 13, 41, 533
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 248 :
The positive integer divisors of 248 that completely divides 248 are.
1, 2, 4, 8, 31, 62, 124, 248
GCD of numbers is the greatest common divisor
So, the GCD (748, 533, 414, 248) = 1.
Given numbers are 748, 533, 414, 248
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 533 are 13 x 41
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 248 are 2 x 2 x 2 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 533, 414, 248
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 533) = 398684
GCD(748, 533) = ( 748 x 533 ) / 398684
= 748 / 533
= 748
Step2:
LCM(1, 414) = 414
GCD(1, 414) = ( 1 x 414 ) / 414
= 1 / 414
= 1
Step3:
LCM(1, 248) = 248
GCD(1, 248) = ( 1 x 248 ) / 248
= 1 / 248
= 1
So, Greatest Common Divisor of 748, 533, 414, 248 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 533, 414, 248
The greatest common divisor of numbers 748, 533, 414, 248 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 533, 414, 248 is 1.
1. What is the GCD of 748, 533, 414, 248?
GCD of given numbers 748, 533, 414, 248 is 1
2. How to calculate the greatest common divisor of 748, 533, 414, 248?
We can find the highest common divisor of 748, 533, 414, 248 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, 533, 414, 248 i.e 1.
3. How can I use the GCD of 748, 533, 414, 248Calculator?
Out the numbers 748, 533, 414, 248 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.