Online GCD Calculator is useful to find the GCD of 147, 189, 185, 969 quickly. Get the easiest ways to solve the greatest common divisor of 147, 189, 185, 969 i.e 1 in different methods as follows.
Given Input numbers are 147, 189, 185, 969
In the factoring method, we have to find the divisors of all numbers
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 185 :
The positive integer divisors of 185 that completely divides 185 are.
1, 5, 37, 185
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
GCD of numbers is the greatest common divisor
So, the GCD (147, 189, 185, 969) = 1.
Given numbers are 147, 189, 185, 969
The list of prime factors of all numbers are
Prime factors of 147 are 3 x 7 x 7
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 185 are 5 x 37
Prime factors of 969 are 3 x 17 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 147, 189, 185, 969
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(147, 189) = 1323
GCD(147, 189) = ( 147 x 189 ) / 1323
= 147 / 189
= 147
Step2:
LCM(21, 185) = 3885
GCD(21, 185) = ( 21 x 185 ) / 3885
= 21 / 185
= 21
Step3:
LCM(1, 969) = 969
GCD(1, 969) = ( 1 x 969 ) / 969
= 1 / 969
= 1
So, Greatest Common Divisor of 147, 189, 185, 969 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 147, 189, 185, 969
The greatest common divisor of numbers 147, 189, 185, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 189, 185, 969 is 1.
1. What is the GCD of 147, 189, 185, 969?
GCD of given numbers 147, 189, 185, 969 is 1
2. How to calculate the greatest common divisor of 147, 189, 185, 969?
We can find the highest common divisor of 147, 189, 185, 969 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 147, 189, 185, 969 i.e 1.
3. How can I use the GCD of 147, 189, 185, 969Calculator?
Out the numbers 147, 189, 185, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.