Online GCD Calculator is useful to find the GCD of 738, 268, 544, 248 quickly. Get the easiest ways to solve the greatest common divisor of 738, 268, 544, 248 i.e 2 in different methods as follows.
Given Input numbers are 738, 268, 544, 248
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 544 :
The positive integer divisors of 544 that completely divides 544 are.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
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 (738, 268, 544, 248) = 2.
Given numbers are 738, 268, 544, 248
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 268 are 2 x 2 x 67
Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17
Prime factors of 248 are 2 x 2 x 2 x 31
The highest common occurrence is 21
Therefore, GCD of 738, 268, 544, 248 is 2.
Given numbers are 738, 268, 544, 248
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 268) = 98892
GCD(738, 268) = ( 738 x 268 ) / 98892
= 738 / 268
= 738
Step2:
LCM(2, 544) = 544
GCD(2, 544) = ( 2 x 544 ) / 544
= 2 / 544
= 2
Step3:
LCM(2, 248) = 248
GCD(2, 248) = ( 2 x 248 ) / 248
= 2 / 248
= 2
So, Greatest Common Divisor of 738, 268, 544, 248 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 268, 544, 248
The greatest common divisor of numbers 738, 268, 544, 248 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 268, 544, 248 is 2.
1. What is the GCD of 738, 268, 544, 248?
GCD of given numbers 738, 268, 544, 248 is 2
2. How to calculate the greatest common divisor of 738, 268, 544, 248?
We can find the highest common divisor of 738, 268, 544, 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 738, 268, 544, 248 i.e 2.
3. How can I use the GCD of 738, 268, 544, 248Calculator?
Out the numbers 738, 268, 544, 248 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.