Online GCD Calculator is useful to find the GCD of 137, 320, 498, 998 quickly. Get the easiest ways to solve the greatest common divisor of 137, 320, 498, 998 i.e 1 in different methods as follows.
Given Input numbers are 137, 320, 498, 998
In the factoring method, we have to find the divisors of all numbers
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
GCD of numbers is the greatest common divisor
So, the GCD (137, 320, 498, 998) = 1.
Given numbers are 137, 320, 498, 998
The list of prime factors of all numbers are
Prime factors of 137 are 137
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 498 are 2 x 3 x 83
Prime factors of 998 are 2 x 499
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 137, 320, 498, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(137, 320) = 43840
GCD(137, 320) = ( 137 x 320 ) / 43840
= 137 / 320
= 137
Step2:
LCM(1, 498) = 498
GCD(1, 498) = ( 1 x 498 ) / 498
= 1 / 498
= 1
Step3:
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
= 1 / 998
= 1
So, Greatest Common Divisor of 137, 320, 498, 998 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 137, 320, 498, 998
The greatest common divisor of numbers 137, 320, 498, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 320, 498, 998 is 1.
1. What is the GCD of 137, 320, 498, 998?
GCD of given numbers 137, 320, 498, 998 is 1
2. How to calculate the greatest common divisor of 137, 320, 498, 998?
We can find the highest common divisor of 137, 320, 498, 998 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 137, 320, 498, 998 i.e 1.
3. How can I use the GCD of 137, 320, 498, 998Calculator?
Out the numbers 137, 320, 498, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.