Online GCD Calculator is useful to find the GCD of 742, 732, 243, 180 quickly. Get the easiest ways to solve the greatest common divisor of 742, 732, 243, 180 i.e 1 in different methods as follows.
Given Input numbers are 742, 732, 243, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (742, 732, 243, 180) = 1.
Given numbers are 742, 732, 243, 180
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 742, 732, 243, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 732) = 271572
GCD(742, 732) = ( 742 x 732 ) / 271572
= 742 / 732
= 742
Step2:
LCM(2, 243) = 486
GCD(2, 243) = ( 2 x 243 ) / 486
= 2 / 243
= 2
Step3:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 742, 732, 243, 180 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 742, 732, 243, 180
The greatest common divisor of numbers 742, 732, 243, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 732, 243, 180 is 1.
1. What is the GCD of 742, 732, 243, 180?
GCD of given numbers 742, 732, 243, 180 is 1
2. How to calculate the greatest common divisor of 742, 732, 243, 180?
We can find the highest common divisor of 742, 732, 243, 180 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 742, 732, 243, 180 i.e 1.
3. How can I use the GCD of 742, 732, 243, 180Calculator?
Out the numbers 742, 732, 243, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.