Online GCD Calculator is useful to find the GCD of 574, 742, 125, 381 quickly. Get the easiest ways to solve the greatest common divisor of 574, 742, 125, 381 i.e 1 in different methods as follows.
Given Input numbers are 574, 742, 125, 381
In the factoring method, we have to find the divisors of all numbers
Divisors of 574 :
The positive integer divisors of 574 that completely divides 574 are.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 125 :
The positive integer divisors of 125 that completely divides 125 are.
1, 5, 25, 125
Divisors of 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
GCD of numbers is the greatest common divisor
So, the GCD (574, 742, 125, 381) = 1.
Given numbers are 574, 742, 125, 381
The list of prime factors of all numbers are
Prime factors of 574 are 2 x 7 x 41
Prime factors of 742 are 2 x 7 x 53
Prime factors of 125 are 5 x 5 x 5
Prime factors of 381 are 3 x 127
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 574, 742, 125, 381
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(574, 742) = 30422
GCD(574, 742) = ( 574 x 742 ) / 30422
= 574 / 742
= 574
Step2:
LCM(14, 125) = 1750
GCD(14, 125) = ( 14 x 125 ) / 1750
= 14 / 125
= 14
Step3:
LCM(1, 381) = 381
GCD(1, 381) = ( 1 x 381 ) / 381
= 1 / 381
= 1
So, Greatest Common Divisor of 574, 742, 125, 381 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 574, 742, 125, 381
The greatest common divisor of numbers 574, 742, 125, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 574, 742, 125, 381 is 1.
1. What is the GCD of 574, 742, 125, 381?
GCD of given numbers 574, 742, 125, 381 is 1
2. How to calculate the greatest common divisor of 574, 742, 125, 381?
We can find the highest common divisor of 574, 742, 125, 381 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 574, 742, 125, 381 i.e 1.
3. How can I use the GCD of 574, 742, 125, 381Calculator?
Out the numbers 574, 742, 125, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.