GCD of 462, 180, 975, 997 Calculator

Given Input numbers are 462, 180, 975, 997

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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 (462, 180, 975, 997) = 1.

Given numbers are 462, 180, 975, 997

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 997 are 997

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

Given numbers are 462, 180, 975, 997

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

Apply this formula for all numbers.

Step1:

LCM(462, 180) = 13860

GCD(462, 180) = ( 462 x 180 ) / 13860

= 462 / 180

= 462

Step2:

LCM(6, 975) = 1950

GCD(6, 975) = ( 6 x 975 ) / 1950

= 6 / 975

= 6

Step3:

LCM(3, 997) = 2991

GCD(3, 997) = ( 3 x 997 ) / 2991

= 3 / 997

= 3

So, Greatest Common Divisor of 462, 180, 975, 997 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 586, 890, 178
• GCD of 534, 137, 155, 512
• GCD of 138, 302, 882, 458
• GCD of 211, 739, 893, 920
• GCD of 994, 790, 640, 565

Given numbers are 462, 180, 975, 997
The greatest common divisor of numbers 462, 180, 975, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 180, 975, 997 is 1.

1. What is the GCD of 462, 180, 975, 997?

GCD of given numbers 462, 180, 975, 997 is 1

2. How to calculate the greatest common divisor of 462, 180, 975, 997?

We can find the highest common divisor of 462, 180, 975, 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 462, 180, 975, 997 i.e 1.

3. How can I use the GCD of 462, 180, 975, 997Calculator?

Out the numbers 462, 180, 975, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.