Online GCD Calculator is useful to find the GCD of 831, 198, 175, 102 quickly. Get the easiest ways to solve the greatest common divisor of 831, 198, 175, 102 i.e 1 in different methods as follows.
Given Input numbers are 831, 198, 175, 102
In the factoring method, we have to find the divisors of all numbers
Divisors of 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
GCD of numbers is the greatest common divisor
So, the GCD (831, 198, 175, 102) = 1.
Given numbers are 831, 198, 175, 102
The list of prime factors of all numbers are
Prime factors of 831 are 3 x 277
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 175 are 5 x 5 x 7
Prime factors of 102 are 2 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 831, 198, 175, 102
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(831, 198) = 54846
GCD(831, 198) = ( 831 x 198 ) / 54846
= 831 / 198
= 831
Step2:
LCM(3, 175) = 525
GCD(3, 175) = ( 3 x 175 ) / 525
= 3 / 175
= 3
Step3:
LCM(1, 102) = 102
GCD(1, 102) = ( 1 x 102 ) / 102
= 1 / 102
= 1
So, Greatest Common Divisor of 831, 198, 175, 102 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 831, 198, 175, 102
The greatest common divisor of numbers 831, 198, 175, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 198, 175, 102 is 1.
1. What is the GCD of 831, 198, 175, 102?
GCD of given numbers 831, 198, 175, 102 is 1
2. How to calculate the greatest common divisor of 831, 198, 175, 102?
We can find the highest common divisor of 831, 198, 175, 102 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 831, 198, 175, 102 i.e 1.
3. How can I use the GCD of 831, 198, 175, 102Calculator?
Out the numbers 831, 198, 175, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.