Online GCD Calculator is useful to find the GCD of 457, 439, 20, 742 quickly. Get the easiest ways to solve the greatest common divisor of 457, 439, 20, 742 i.e 1 in different methods as follows.
Given Input numbers are 457, 439, 20, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 457 :
The positive integer divisors of 457 that completely divides 457 are.
1, 457
Divisors of 439 :
The positive integer divisors of 439 that completely divides 439 are.
1, 439
Divisors of 20 :
The positive integer divisors of 20 that completely divides 20 are.
1, 2, 4, 5, 10, 20
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (457, 439, 20, 742) = 1.
Given numbers are 457, 439, 20, 742
The list of prime factors of all numbers are
Prime factors of 457 are 457
Prime factors of 439 are 439
Prime factors of 20 are 2 x 2 x 5
Prime factors of 742 are 2 x 7 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 457, 439, 20, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(457, 439) = 200623
GCD(457, 439) = ( 457 x 439 ) / 200623
= 457 / 439
= 457
Step2:
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
= 1 / 20
= 1
Step3:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
So, Greatest Common Divisor of 457, 439, 20, 742 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 457, 439, 20, 742
The greatest common divisor of numbers 457, 439, 20, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 457, 439, 20, 742 is 1.
1. What is the GCD of 457, 439, 20, 742?
GCD of given numbers 457, 439, 20, 742 is 1
2. How to calculate the greatest common divisor of 457, 439, 20, 742?
We can find the highest common divisor of 457, 439, 20, 742 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 457, 439, 20, 742 i.e 1.
3. How can I use the GCD of 457, 439, 20, 742Calculator?
Out the numbers 457, 439, 20, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.