Online GCD Calculator is useful to find the GCD of 705, 590, 998, 982 quickly. Get the easiest ways to solve the greatest common divisor of 705, 590, 998, 982 i.e 1 in different methods as follows.
Given Input numbers are 705, 590, 998, 982
In the factoring method, we have to find the divisors of all numbers
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 982 :
The positive integer divisors of 982 that completely divides 982 are.
1, 2, 491, 982
GCD of numbers is the greatest common divisor
So, the GCD (705, 590, 998, 982) = 1.
Given numbers are 705, 590, 998, 982
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 590 are 2 x 5 x 59
Prime factors of 998 are 2 x 499
Prime factors of 982 are 2 x 491
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 705, 590, 998, 982
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 590) = 83190
GCD(705, 590) = ( 705 x 590 ) / 83190
= 705 / 590
= 705
Step2:
LCM(5, 998) = 4990
GCD(5, 998) = ( 5 x 998 ) / 4990
= 5 / 998
= 5
Step3:
LCM(1, 982) = 982
GCD(1, 982) = ( 1 x 982 ) / 982
= 1 / 982
= 1
So, Greatest Common Divisor of 705, 590, 998, 982 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 705, 590, 998, 982
The greatest common divisor of numbers 705, 590, 998, 982 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 590, 998, 982 is 1.
1. What is the GCD of 705, 590, 998, 982?
GCD of given numbers 705, 590, 998, 982 is 1
2. How to calculate the greatest common divisor of 705, 590, 998, 982?
We can find the highest common divisor of 705, 590, 998, 982 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 705, 590, 998, 982 i.e 1.
3. How can I use the GCD of 705, 590, 998, 982Calculator?
Out the numbers 705, 590, 998, 982 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.