GCD of 497, 903, 462 Calculator

Given Input numbers are 497, 903, 462

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

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

Divisors of 903 :

The positive integer divisors of 903 that completely divides 903 are.

1, 3, 7, 21, 43, 129, 301, 903

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

GCD of numbers is the greatest common divisor

So, the GCD (497, 903, 462) = 7.

Given numbers are 497, 903, 462

The list of prime factors of all numbers are

Prime factors of 497 are 7 x 71

Prime factors of 903 are 3 x 7 x 43

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

The highest common occurrence is 7¹

Therefore, GCD of 497, 903, 462 is 7.

Given numbers are 497, 903, 462

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

Apply this formula for all numbers.

Step1:

LCM(497, 903) = 64113

GCD(497, 903) = ( 497 x 903 ) / 64113

= 497 / 903

= 497

Step2:

LCM(7, 462) = 462

GCD(7, 462) = ( 7 x 462 ) / 462

= 7 / 462

= 7

So, Greatest Common Divisor of 497, 903, 462 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 835, 154
• GCD of 855, 945, 310
• GCD of 908, 931, 409
• GCD of 943, 374, 973
• GCD of 796, 521, 955

Given numbers are 497, 903, 462
The greatest common divisor of numbers 497, 903, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 497, 903, 462 is 7.

1. What is the GCD of 497, 903, 462?

GCD of given numbers 497, 903, 462 is 7

2. How to calculate the greatest common divisor of 497, 903, 462?

We can find the highest common divisor of 497, 903, 462 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 497, 903, 462 i.e 7.

3. How can I use the GCD of 497, 903, 462Calculator?

Out the numbers 497, 903, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.