Online GCD Calculator is useful to find the GCD of 748, 137, 936, 216 quickly. Get the easiest ways to solve the greatest common divisor of 748, 137, 936, 216 i.e 1 in different methods as follows.
Given Input numbers are 748, 137, 936, 216
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 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
GCD of numbers is the greatest common divisor
So, the GCD (748, 137, 936, 216) = 1.
Given numbers are 748, 137, 936, 216
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 137 are 137
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 137, 936, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 137) = 102476
GCD(748, 137) = ( 748 x 137 ) / 102476
= 748 / 137
= 748
Step2:
LCM(1, 936) = 936
GCD(1, 936) = ( 1 x 936 ) / 936
= 1 / 936
= 1
Step3:
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
= 1 / 216
= 1
So, Greatest Common Divisor of 748, 137, 936, 216 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 137, 936, 216
The greatest common divisor of numbers 748, 137, 936, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 137, 936, 216 is 1.
1. What is the GCD of 748, 137, 936, 216?
GCD of given numbers 748, 137, 936, 216 is 1
2. How to calculate the greatest common divisor of 748, 137, 936, 216?
We can find the highest common divisor of 748, 137, 936, 216 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, 137, 936, 216 i.e 1.
3. How can I use the GCD of 748, 137, 936, 216Calculator?
Out the numbers 748, 137, 936, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.