Online GCD Calculator is useful to find the GCD of 748, 121, 626, 916 quickly. Get the easiest ways to solve the greatest common divisor of 748, 121, 626, 916 i.e 1 in different methods as follows.
Given Input numbers are 748, 121, 626, 916
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 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
Divisors of 626 :
The positive integer divisors of 626 that completely divides 626 are.
1, 2, 313, 626
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
GCD of numbers is the greatest common divisor
So, the GCD (748, 121, 626, 916) = 1.
Given numbers are 748, 121, 626, 916
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 121 are 11 x 11
Prime factors of 626 are 2 x 313
Prime factors of 916 are 2 x 2 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 121, 626, 916
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 121) = 8228
GCD(748, 121) = ( 748 x 121 ) / 8228
= 748 / 121
= 748
Step2:
LCM(11, 626) = 6886
GCD(11, 626) = ( 11 x 626 ) / 6886
= 11 / 626
= 11
Step3:
LCM(1, 916) = 916
GCD(1, 916) = ( 1 x 916 ) / 916
= 1 / 916
= 1
So, Greatest Common Divisor of 748, 121, 626, 916 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 121, 626, 916
The greatest common divisor of numbers 748, 121, 626, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 121, 626, 916 is 1.
1. What is the GCD of 748, 121, 626, 916?
GCD of given numbers 748, 121, 626, 916 is 1
2. How to calculate the greatest common divisor of 748, 121, 626, 916?
We can find the highest common divisor of 748, 121, 626, 916 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, 121, 626, 916 i.e 1.
3. How can I use the GCD of 748, 121, 626, 916Calculator?
Out the numbers 748, 121, 626, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.