GCD of 440, 460, 488, 991 Calculator

Given Input numbers are 440, 460, 488, 991

In the factoring method, we have to find the divisors of all numbers

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

GCD of numbers is the greatest common divisor

So, the GCD (440, 460, 488, 991) = 1.

Given numbers are 440, 460, 488, 991

The list of prime factors of all numbers are

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 991 are 991

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 440, 460, 488, 991

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(440, 460) = 10120

GCD(440, 460) = ( 440 x 460 ) / 10120

= 440 / 460

= 440

Step2:

LCM(20, 488) = 2440

GCD(20, 488) = ( 20 x 488 ) / 2440

= 20 / 488

= 20

Step3:

LCM(4, 991) = 3964

GCD(4, 991) = ( 4 x 991 ) / 3964

= 4 / 991

= 4

So, Greatest Common Divisor of 440, 460, 488, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 224, 796, 866
• GCD of 644, 692, 908, 287
• GCD of 798, 171, 632, 301
• GCD of 293, 566, 132, 778
• GCD of 829, 775, 305, 274

Given numbers are 440, 460, 488, 991
The greatest common divisor of numbers 440, 460, 488, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 460, 488, 991 is 1.

1. What is the GCD of 440, 460, 488, 991?

GCD of given numbers 440, 460, 488, 991 is 1

2. How to calculate the greatest common divisor of 440, 460, 488, 991?

We can find the highest common divisor of 440, 460, 488, 991 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 440, 460, 488, 991 i.e 1.

3. How can I use the GCD of 440, 460, 488, 991Calculator?

Out the numbers 440, 460, 488, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.