Online GCD Calculator is useful to find the GCD of 361, 240, 928, 748 quickly. Get the easiest ways to solve the greatest common divisor of 361, 240, 928, 748 i.e 1 in different methods as follows.
Given Input numbers are 361, 240, 928, 748
In the factoring method, we have to find the divisors of all numbers
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 928 :
The positive integer divisors of 928 that completely divides 928 are.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
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
GCD of numbers is the greatest common divisor
So, the GCD (361, 240, 928, 748) = 1.
Given numbers are 361, 240, 928, 748
The list of prime factors of all numbers are
Prime factors of 361 are 19 x 19
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29
Prime factors of 748 are 2 x 2 x 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 361, 240, 928, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(361, 240) = 86640
GCD(361, 240) = ( 361 x 240 ) / 86640
= 361 / 240
= 361
Step2:
LCM(1, 928) = 928
GCD(1, 928) = ( 1 x 928 ) / 928
= 1 / 928
= 1
Step3:
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
= 1 / 748
= 1
So, Greatest Common Divisor of 361, 240, 928, 748 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 361, 240, 928, 748
The greatest common divisor of numbers 361, 240, 928, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 240, 928, 748 is 1.
1. What is the GCD of 361, 240, 928, 748?
GCD of given numbers 361, 240, 928, 748 is 1
2. How to calculate the greatest common divisor of 361, 240, 928, 748?
We can find the highest common divisor of 361, 240, 928, 748 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 361, 240, 928, 748 i.e 1.
3. How can I use the GCD of 361, 240, 928, 748Calculator?
Out the numbers 361, 240, 928, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.