Online GCD Calculator is useful to find the GCD of 777, 735, 289, 164 quickly. Get the easiest ways to solve the greatest common divisor of 777, 735, 289, 164 i.e 1 in different methods as follows.
Given Input numbers are 777, 735, 289, 164
In the factoring method, we have to find the divisors of all numbers
Divisors of 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
GCD of numbers is the greatest common divisor
So, the GCD (777, 735, 289, 164) = 1.
Given numbers are 777, 735, 289, 164
The list of prime factors of all numbers are
Prime factors of 777 are 3 x 7 x 37
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 289 are 17 x 17
Prime factors of 164 are 2 x 2 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 777, 735, 289, 164
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(777, 735) = 27195
GCD(777, 735) = ( 777 x 735 ) / 27195
= 777 / 735
= 777
Step2:
LCM(21, 289) = 6069
GCD(21, 289) = ( 21 x 289 ) / 6069
= 21 / 289
= 21
Step3:
LCM(1, 164) = 164
GCD(1, 164) = ( 1 x 164 ) / 164
= 1 / 164
= 1
So, Greatest Common Divisor of 777, 735, 289, 164 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 777, 735, 289, 164
The greatest common divisor of numbers 777, 735, 289, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 777, 735, 289, 164 is 1.
1. What is the GCD of 777, 735, 289, 164?
GCD of given numbers 777, 735, 289, 164 is 1
2. How to calculate the greatest common divisor of 777, 735, 289, 164?
We can find the highest common divisor of 777, 735, 289, 164 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 777, 735, 289, 164 i.e 1.
3. How can I use the GCD of 777, 735, 289, 164Calculator?
Out the numbers 777, 735, 289, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.