Online GCD Calculator is useful to find the GCD of 748, 274, 441, 122 quickly. Get the easiest ways to solve the greatest common divisor of 748, 274, 441, 122 i.e 1 in different methods as follows.
Given Input numbers are 748, 274, 441, 122
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 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
GCD of numbers is the greatest common divisor
So, the GCD (748, 274, 441, 122) = 1.
Given numbers are 748, 274, 441, 122
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 274 are 2 x 137
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 122 are 2 x 61
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 274, 441, 122
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 274) = 102476
GCD(748, 274) = ( 748 x 274 ) / 102476
= 748 / 274
= 748
Step2:
LCM(2, 441) = 882
GCD(2, 441) = ( 2 x 441 ) / 882
= 2 / 441
= 2
Step3:
LCM(1, 122) = 122
GCD(1, 122) = ( 1 x 122 ) / 122
= 1 / 122
= 1
So, Greatest Common Divisor of 748, 274, 441, 122 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 274, 441, 122
The greatest common divisor of numbers 748, 274, 441, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 274, 441, 122 is 1.
1. What is the GCD of 748, 274, 441, 122?
GCD of given numbers 748, 274, 441, 122 is 1
2. How to calculate the greatest common divisor of 748, 274, 441, 122?
We can find the highest common divisor of 748, 274, 441, 122 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, 274, 441, 122 i.e 1.
3. How can I use the GCD of 748, 274, 441, 122Calculator?
Out the numbers 748, 274, 441, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.