GCD of 220, 448, 825, 989 Calculator

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.

• GCD of 821, 648, 932, 257
• GCD of 385, 689, 759, 610
• GCD of 506, 364, 338, 151
• GCD of 455, 842, 651, 857
• GCD of 338, 783, 231, 754

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.