Online GCD Calculator is useful to find the GCD of 548, 990, 724, 731 quickly. Get the easiest ways to solve the greatest common divisor of 548, 990, 724, 731 i.e 1 in different methods as follows.
Given Input numbers are 548, 990, 724, 731
In the factoring method, we have to find the divisors of all numbers
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
GCD of numbers is the greatest common divisor
So, the GCD (548, 990, 724, 731) = 1.
Given numbers are 548, 990, 724, 731
The list of prime factors of all numbers are
Prime factors of 548 are 2 x 2 x 137
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 724 are 2 x 2 x 181
Prime factors of 731 are 17 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 548, 990, 724, 731
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(548, 990) = 271260
GCD(548, 990) = ( 548 x 990 ) / 271260
= 548 / 990
= 548
Step2:
LCM(2, 724) = 724
GCD(2, 724) = ( 2 x 724 ) / 724
= 2 / 724
= 2
Step3:
LCM(2, 731) = 1462
GCD(2, 731) = ( 2 x 731 ) / 1462
= 2 / 731
= 2
So, Greatest Common Divisor of 548, 990, 724, 731 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 548, 990, 724, 731
The greatest common divisor of numbers 548, 990, 724, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 990, 724, 731 is 1.
1. What is the GCD of 548, 990, 724, 731?
GCD of given numbers 548, 990, 724, 731 is 1
2. How to calculate the greatest common divisor of 548, 990, 724, 731?
We can find the highest common divisor of 548, 990, 724, 731 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 548, 990, 724, 731 i.e 1.
3. How can I use the GCD of 548, 990, 724, 731Calculator?
Out the numbers 548, 990, 724, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.