Online GCD Calculator is useful to find the GCD of 400, 418, 972, 717 quickly. Get the easiest ways to solve the greatest common divisor of 400, 418, 972, 717 i.e 1 in different methods as follows.
Given Input numbers are 400, 418, 972, 717
In the factoring method, we have to find the divisors of all numbers
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
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 717 :
The positive integer divisors of 717 that completely divides 717 are.
1, 3, 239, 717
GCD of numbers is the greatest common divisor
So, the GCD (400, 418, 972, 717) = 1.
Given numbers are 400, 418, 972, 717
The list of prime factors of all numbers are
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 418 are 2 x 11 x 19
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 717 are 3 x 239
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 400, 418, 972, 717
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 418) = 83600
GCD(400, 418) = ( 400 x 418 ) / 83600
= 400 / 418
= 400
Step2:
LCM(2, 972) = 972
GCD(2, 972) = ( 2 x 972 ) / 972
= 2 / 972
= 2
Step3:
LCM(2, 717) = 1434
GCD(2, 717) = ( 2 x 717 ) / 1434
= 2 / 717
= 2
So, Greatest Common Divisor of 400, 418, 972, 717 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 418, 972, 717
The greatest common divisor of numbers 400, 418, 972, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 418, 972, 717 is 1.
1. What is the GCD of 400, 418, 972, 717?
GCD of given numbers 400, 418, 972, 717 is 1
2. How to calculate the greatest common divisor of 400, 418, 972, 717?
We can find the highest common divisor of 400, 418, 972, 717 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 400, 418, 972, 717 i.e 1.
3. How can I use the GCD of 400, 418, 972, 717Calculator?
Out the numbers 400, 418, 972, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.