Online GCD Calculator is useful to find the GCD of 743, 484, 271, 180 quickly. Get the easiest ways to solve the greatest common divisor of 743, 484, 271, 180 i.e 1 in different methods as follows.
Given Input numbers are 743, 484, 271, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 743 :
The positive integer divisors of 743 that completely divides 743 are.
1, 743
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 271 :
The positive integer divisors of 271 that completely divides 271 are.
1, 271
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 (743, 484, 271, 180) = 1.
Given numbers are 743, 484, 271, 180
The list of prime factors of all numbers are
Prime factors of 743 are 743
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 271 are 271
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 743, 484, 271, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(743, 484) = 359612
GCD(743, 484) = ( 743 x 484 ) / 359612
= 743 / 484
= 743
Step2:
LCM(1, 271) = 271
GCD(1, 271) = ( 1 x 271 ) / 271
= 1 / 271
= 1
Step3:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 743, 484, 271, 180 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 743, 484, 271, 180
The greatest common divisor of numbers 743, 484, 271, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 743, 484, 271, 180 is 1.
1. What is the GCD of 743, 484, 271, 180?
GCD of given numbers 743, 484, 271, 180 is 1
2. How to calculate the greatest common divisor of 743, 484, 271, 180?
We can find the highest common divisor of 743, 484, 271, 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 743, 484, 271, 180 i.e 1.
3. How can I use the GCD of 743, 484, 271, 180Calculator?
Out the numbers 743, 484, 271, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.