Online GCD Calculator is useful to find the GCD of 972, 823, 448, 440 quickly. Get the easiest ways to solve the greatest common divisor of 972, 823, 448, 440 i.e 1 in different methods as follows.
Given Input numbers are 972, 823, 448, 440
In the factoring method, we have to find the divisors of all numbers
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 823 :
The positive integer divisors of 823 that completely divides 823 are.
1, 823
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
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
GCD of numbers is the greatest common divisor
So, the GCD (972, 823, 448, 440) = 1.
Given numbers are 972, 823, 448, 440
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 823 are 823
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 823, 448, 440
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 823) = 799956
GCD(972, 823) = ( 972 x 823 ) / 799956
= 972 / 823
= 972
Step2:
LCM(1, 448) = 448
GCD(1, 448) = ( 1 x 448 ) / 448
= 1 / 448
= 1
Step3:
LCM(1, 440) = 440
GCD(1, 440) = ( 1 x 440 ) / 440
= 1 / 440
= 1
So, Greatest Common Divisor of 972, 823, 448, 440 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 823, 448, 440
The greatest common divisor of numbers 972, 823, 448, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 823, 448, 440 is 1.
1. What is the GCD of 972, 823, 448, 440?
GCD of given numbers 972, 823, 448, 440 is 1
2. How to calculate the greatest common divisor of 972, 823, 448, 440?
We can find the highest common divisor of 972, 823, 448, 440 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 972, 823, 448, 440 i.e 1.
3. How can I use the GCD of 972, 823, 448, 440Calculator?
Out the numbers 972, 823, 448, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.