Online GCD Calculator is useful to find the GCD of 989, 598, 678, 172 quickly. Get the easiest ways to solve the greatest common divisor of 989, 598, 678, 172 i.e 1 in different methods as follows.
Given Input numbers are 989, 598, 678, 172
In the factoring method, we have to find the divisors of all numbers
Divisors of 989 :
The positive integer divisors of 989 that completely divides 989 are.
1, 23, 43, 989
Divisors of 598 :
The positive integer divisors of 598 that completely divides 598 are.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (989, 598, 678, 172) = 1.
Given numbers are 989, 598, 678, 172
The list of prime factors of all numbers are
Prime factors of 989 are 23 x 43
Prime factors of 598 are 2 x 13 x 23
Prime factors of 678 are 2 x 3 x 113
Prime factors of 172 are 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 989, 598, 678, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(989, 598) = 25714
GCD(989, 598) = ( 989 x 598 ) / 25714
= 989 / 598
= 989
Step2:
LCM(23, 678) = 15594
GCD(23, 678) = ( 23 x 678 ) / 15594
= 23 / 678
= 23
Step3:
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
= 1 / 172
= 1
So, Greatest Common Divisor of 989, 598, 678, 172 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 989, 598, 678, 172
The greatest common divisor of numbers 989, 598, 678, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 989, 598, 678, 172 is 1.
1. What is the GCD of 989, 598, 678, 172?
GCD of given numbers 989, 598, 678, 172 is 1
2. How to calculate the greatest common divisor of 989, 598, 678, 172?
We can find the highest common divisor of 989, 598, 678, 172 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 989, 598, 678, 172 i.e 1.
3. How can I use the GCD of 989, 598, 678, 172Calculator?
Out the numbers 989, 598, 678, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.