Online GCD Calculator is useful to find the GCD of 998, 590, 147, 272 quickly. Get the easiest ways to solve the greatest common divisor of 998, 590, 147, 272 i.e 1 in different methods as follows.
Given Input numbers are 998, 590, 147, 272
In the factoring method, we have to find the divisors of all numbers
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (998, 590, 147, 272) = 1.
Given numbers are 998, 590, 147, 272
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 590 are 2 x 5 x 59
Prime factors of 147 are 3 x 7 x 7
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 998, 590, 147, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 590) = 294410
GCD(998, 590) = ( 998 x 590 ) / 294410
= 998 / 590
= 998
Step2:
LCM(2, 147) = 294
GCD(2, 147) = ( 2 x 147 ) / 294
= 2 / 147
= 2
Step3:
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
= 1 / 272
= 1
So, Greatest Common Divisor of 998, 590, 147, 272 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 590, 147, 272
The greatest common divisor of numbers 998, 590, 147, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 590, 147, 272 is 1.
1. What is the GCD of 998, 590, 147, 272?
GCD of given numbers 998, 590, 147, 272 is 1
2. How to calculate the greatest common divisor of 998, 590, 147, 272?
We can find the highest common divisor of 998, 590, 147, 272 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 998, 590, 147, 272 i.e 1.
3. How can I use the GCD of 998, 590, 147, 272Calculator?
Out the numbers 998, 590, 147, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.