GCD of 480, 175, 440, 997 Calculator

Given Input numbers are 480, 175, 440, 997

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

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 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

GCD of numbers is the greatest common divisor

So, the GCD (480, 175, 440, 997) = 1.

Given numbers are 480, 175, 440, 997

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 175 are 5 x 5 x 7

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

Prime factors of 997 are 997

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

Given numbers are 480, 175, 440, 997

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

Apply this formula for all numbers.

Step1:

LCM(480, 175) = 16800

GCD(480, 175) = ( 480 x 175 ) / 16800

= 480 / 175

= 480

Step2:

LCM(5, 440) = 440

GCD(5, 440) = ( 5 x 440 ) / 440

= 5 / 440

= 5

Step3:

LCM(5, 997) = 4985

GCD(5, 997) = ( 5 x 997 ) / 4985

= 5 / 997

= 5

So, Greatest Common Divisor of 480, 175, 440, 997 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 539, 649, 296, 325
• GCD of 514, 892, 808, 262
• GCD of 732, 735, 175, 304
• GCD of 810, 704, 767, 827
• GCD of 129, 864, 818, 452

Given numbers are 480, 175, 440, 997
The greatest common divisor of numbers 480, 175, 440, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 175, 440, 997 is 1.

1. What is the GCD of 480, 175, 440, 997?

GCD of given numbers 480, 175, 440, 997 is 1

2. How to calculate the greatest common divisor of 480, 175, 440, 997?

We can find the highest common divisor of 480, 175, 440, 997 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 480, 175, 440, 997 i.e 1.

3. How can I use the GCD of 480, 175, 440, 997Calculator?

Out the numbers 480, 175, 440, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.