Online GCD Calculator is useful to find the GCD of 504, 440, 374, 697 quickly. Get the easiest ways to solve the greatest common divisor of 504, 440, 374, 697 i.e 1 in different methods as follows.
Given Input numbers are 504, 440, 374, 697
In the factoring method, we have to find the divisors of all numbers
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
GCD of numbers is the greatest common divisor
So, the GCD (504, 440, 374, 697) = 1.
Given numbers are 504, 440, 374, 697
The list of prime factors of all numbers are
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 374 are 2 x 11 x 17
Prime factors of 697 are 17 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 504, 440, 374, 697
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 440) = 27720
GCD(504, 440) = ( 504 x 440 ) / 27720
= 504 / 440
= 504
Step2:
LCM(8, 374) = 1496
GCD(8, 374) = ( 8 x 374 ) / 1496
= 8 / 374
= 8
Step3:
LCM(2, 697) = 1394
GCD(2, 697) = ( 2 x 697 ) / 1394
= 2 / 697
= 2
So, Greatest Common Divisor of 504, 440, 374, 697 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 504, 440, 374, 697
The greatest common divisor of numbers 504, 440, 374, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 440, 374, 697 is 1.
1. What is the GCD of 504, 440, 374, 697?
GCD of given numbers 504, 440, 374, 697 is 1
2. How to calculate the greatest common divisor of 504, 440, 374, 697?
We can find the highest common divisor of 504, 440, 374, 697 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 504, 440, 374, 697 i.e 1.
3. How can I use the GCD of 504, 440, 374, 697Calculator?
Out the numbers 504, 440, 374, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.