Online GCD Calculator is useful to find the GCD of 697, 364, 391, 144 quickly. Get the easiest ways to solve the greatest common divisor of 697, 364, 391, 144 i.e 1 in different methods as follows.
Given Input numbers are 697, 364, 391, 144
In the factoring method, we have to find the divisors of all numbers
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 391 :
The positive integer divisors of 391 that completely divides 391 are.
1, 17, 23, 391
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD of numbers is the greatest common divisor
So, the GCD (697, 364, 391, 144) = 1.
Given numbers are 697, 364, 391, 144
The list of prime factors of all numbers are
Prime factors of 697 are 17 x 41
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 391 are 17 x 23
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 697, 364, 391, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(697, 364) = 253708
GCD(697, 364) = ( 697 x 364 ) / 253708
= 697 / 364
= 697
Step2:
LCM(1, 391) = 391
GCD(1, 391) = ( 1 x 391 ) / 391
= 1 / 391
= 1
Step3:
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
= 1 / 144
= 1
So, Greatest Common Divisor of 697, 364, 391, 144 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 697, 364, 391, 144
The greatest common divisor of numbers 697, 364, 391, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 697, 364, 391, 144 is 1.
1. What is the GCD of 697, 364, 391, 144?
GCD of given numbers 697, 364, 391, 144 is 1
2. How to calculate the greatest common divisor of 697, 364, 391, 144?
We can find the highest common divisor of 697, 364, 391, 144 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 697, 364, 391, 144 i.e 1.
3. How can I use the GCD of 697, 364, 391, 144Calculator?
Out the numbers 697, 364, 391, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.