Online GCD Calculator is useful to find the GCD of 220, 448, 825, 989 quickly. Get the easiest ways to solve the greatest common divisor of 220, 448, 825, 989 i.e 1 in different methods as follows.
Given Input numbers are 220, 448, 825, 989
In the factoring method, we have to find the divisors of all numbers
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
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 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 989 :
The positive integer divisors of 989 that completely divides 989 are.
1, 23, 43, 989
GCD of numbers is the greatest common divisor
So, the GCD (220, 448, 825, 989) = 1.
Given numbers are 220, 448, 825, 989
The list of prime factors of all numbers are
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 989 are 23 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 220, 448, 825, 989
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(220, 448) = 24640
GCD(220, 448) = ( 220 x 448 ) / 24640
= 220 / 448
= 220
Step2:
LCM(4, 825) = 3300
GCD(4, 825) = ( 4 x 825 ) / 3300
= 4 / 825
= 4
Step3:
LCM(1, 989) = 989
GCD(1, 989) = ( 1 x 989 ) / 989
= 1 / 989
= 1
So, Greatest Common Divisor of 220, 448, 825, 989 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 220, 448, 825, 989
The greatest common divisor of numbers 220, 448, 825, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 448, 825, 989 is 1.
1. What is the GCD of 220, 448, 825, 989?
GCD of given numbers 220, 448, 825, 989 is 1
2. How to calculate the greatest common divisor of 220, 448, 825, 989?
We can find the highest common divisor of 220, 448, 825, 989 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 220, 448, 825, 989 i.e 1.
3. How can I use the GCD of 220, 448, 825, 989Calculator?
Out the numbers 220, 448, 825, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.