Online GCD Calculator is useful to find the GCD of 442, 740, 731, 742 quickly. Get the easiest ways to solve the greatest common divisor of 442, 740, 731, 742 i.e 1 in different methods as follows.
Given Input numbers are 442, 740, 731, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
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 (442, 740, 731, 742) = 1.
Given numbers are 442, 740, 731, 742
The list of prime factors of all numbers are
Prime factors of 442 are 2 x 13 x 17
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 731 are 17 x 43
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 442, 740, 731, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(442, 740) = 163540
GCD(442, 740) = ( 442 x 740 ) / 163540
= 442 / 740
= 442
Step2:
LCM(2, 731) = 1462
GCD(2, 731) = ( 2 x 731 ) / 1462
= 2 / 731
= 2
Step3:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
So, Greatest Common Divisor of 442, 740, 731, 742 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 442, 740, 731, 742
The greatest common divisor of numbers 442, 740, 731, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 740, 731, 742 is 1.
1. What is the GCD of 442, 740, 731, 742?
GCD of given numbers 442, 740, 731, 742 is 1
2. How to calculate the greatest common divisor of 442, 740, 731, 742?
We can find the highest common divisor of 442, 740, 731, 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 442, 740, 731, 742 i.e 1.
3. How can I use the GCD of 442, 740, 731, 742Calculator?
Out the numbers 442, 740, 731, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.