Online GCD Calculator is useful to find the GCD of 400, 771, 823, 972 quickly. Get the easiest ways to solve the greatest common divisor of 400, 771, 823, 972 i.e 1 in different methods as follows.
Given Input numbers are 400, 771, 823, 972
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 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 823 :
The positive integer divisors of 823 that completely divides 823 are.
1, 823
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
GCD of numbers is the greatest common divisor
So, the GCD (400, 771, 823, 972) = 1.
Given numbers are 400, 771, 823, 972
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 771 are 3 x 257
Prime factors of 823 are 823
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 400, 771, 823, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 771) = 308400
GCD(400, 771) = ( 400 x 771 ) / 308400
= 400 / 771
= 400
Step2:
LCM(1, 823) = 823
GCD(1, 823) = ( 1 x 823 ) / 823
= 1 / 823
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 400, 771, 823, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 771, 823, 972
The greatest common divisor of numbers 400, 771, 823, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 771, 823, 972 is 1.
1. What is the GCD of 400, 771, 823, 972?
GCD of given numbers 400, 771, 823, 972 is 1
2. How to calculate the greatest common divisor of 400, 771, 823, 972?
We can find the highest common divisor of 400, 771, 823, 972 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, 771, 823, 972 i.e 1.
3. How can I use the GCD of 400, 771, 823, 972Calculator?
Out the numbers 400, 771, 823, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.