Online GCD Calculator is useful to find the GCD of 484, 110, 455, 742 quickly. Get the easiest ways to solve the greatest common divisor of 484, 110, 455, 742 i.e 1 in different methods as follows.
Given Input numbers are 484, 110, 455, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 455 :
The positive integer divisors of 455 that completely divides 455 are.
1, 5, 7, 13, 35, 65, 91, 455
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 (484, 110, 455, 742) = 1.
Given numbers are 484, 110, 455, 742
The list of prime factors of all numbers are
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 110 are 2 x 5 x 11
Prime factors of 455 are 5 x 7 x 13
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 484, 110, 455, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(484, 110) = 2420
GCD(484, 110) = ( 484 x 110 ) / 2420
= 484 / 110
= 484
Step2:
LCM(22, 455) = 10010
GCD(22, 455) = ( 22 x 455 ) / 10010
= 22 / 455
= 22
Step3:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
So, Greatest Common Divisor of 484, 110, 455, 742 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 484, 110, 455, 742
The greatest common divisor of numbers 484, 110, 455, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 484, 110, 455, 742 is 1.
1. What is the GCD of 484, 110, 455, 742?
GCD of given numbers 484, 110, 455, 742 is 1
2. How to calculate the greatest common divisor of 484, 110, 455, 742?
We can find the highest common divisor of 484, 110, 455, 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 484, 110, 455, 742 i.e 1.
3. How can I use the GCD of 484, 110, 455, 742Calculator?
Out the numbers 484, 110, 455, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.