Online GCD Calculator is useful to find the GCD of 235, 189, 972, 772 quickly. Get the easiest ways to solve the greatest common divisor of 235, 189, 972, 772 i.e 1 in different methods as follows.
Given Input numbers are 235, 189, 972, 772
In the factoring method, we have to find the divisors of all numbers
Divisors of 235 :
The positive integer divisors of 235 that completely divides 235 are.
1, 5, 47, 235
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
GCD of numbers is the greatest common divisor
So, the GCD (235, 189, 972, 772) = 1.
Given numbers are 235, 189, 972, 772
The list of prime factors of all numbers are
Prime factors of 235 are 5 x 47
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 772 are 2 x 2 x 193
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 235, 189, 972, 772
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(235, 189) = 44415
GCD(235, 189) = ( 235 x 189 ) / 44415
= 235 / 189
= 235
Step2:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
Step3:
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
= 1 / 772
= 1
So, Greatest Common Divisor of 235, 189, 972, 772 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 235, 189, 972, 772
The greatest common divisor of numbers 235, 189, 972, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 235, 189, 972, 772 is 1.
1. What is the GCD of 235, 189, 972, 772?
GCD of given numbers 235, 189, 972, 772 is 1
2. How to calculate the greatest common divisor of 235, 189, 972, 772?
We can find the highest common divisor of 235, 189, 972, 772 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 235, 189, 972, 772 i.e 1.
3. How can I use the GCD of 235, 189, 972, 772Calculator?
Out the numbers 235, 189, 972, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.