GCD of 497, 538, 994, 721 Calculator

Given Input numbers are 497, 538, 994, 721

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 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

GCD of numbers is the greatest common divisor

So, the GCD (497, 538, 994, 721) = 1.

Given numbers are 497, 538, 994, 721

The list of prime factors of all numbers are

Prime factors of 497 are 7 x 71

Prime factors of 538 are 2 x 269

Prime factors of 994 are 2 x 7 x 71

Prime factors of 721 are 7 x 103

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

Given numbers are 497, 538, 994, 721

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

Apply this formula for all numbers.

Step1:

LCM(497, 538) = 267386

GCD(497, 538) = ( 497 x 538 ) / 267386

= 497 / 538

= 497

Step2:

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

= 1 / 994

= 1

Step3:

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

= 1 / 721

= 1

So, Greatest Common Divisor of 497, 538, 994, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 234, 768, 175
• GCD of 166, 955, 852, 463
• GCD of 854, 840, 906, 847
• GCD of 859, 408, 727, 919
• GCD of 782, 446, 771, 611

Given numbers are 497, 538, 994, 721
The greatest common divisor of numbers 497, 538, 994, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 497, 538, 994, 721 is 1.

1. What is the GCD of 497, 538, 994, 721?

GCD of given numbers 497, 538, 994, 721 is 1

2. How to calculate the greatest common divisor of 497, 538, 994, 721?

We can find the highest common divisor of 497, 538, 994, 721 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, 538, 994, 721 i.e 1.

3. How can I use the GCD of 497, 538, 994, 721Calculator?

Out the numbers 497, 538, 994, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.