GCD of 499, 725, 133, 343 Calculator

Given Input numbers are 499, 725, 133, 343

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

Divisors of 499 :

The positive integer divisors of 499 that completely divides 499 are.

1, 499

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (499, 725, 133, 343) = 1.

Given numbers are 499, 725, 133, 343

The list of prime factors of all numbers are

Prime factors of 499 are 499

Prime factors of 725 are 5 x 5 x 29

Prime factors of 133 are 7 x 19

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 499, 725, 133, 343

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

Apply this formula for all numbers.

Step1:

LCM(499, 725) = 361775

GCD(499, 725) = ( 499 x 725 ) / 361775

= 499 / 725

= 499

Step2:

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

= 1 / 133

= 1

Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

So, Greatest Common Divisor of 499, 725, 133, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 670, 750, 486, 984
• GCD of 279, 570, 382, 524
• GCD of 871, 120, 978, 965
• GCD of 348, 413, 342, 683
• GCD of 185, 443, 372, 653

Given numbers are 499, 725, 133, 343
The greatest common divisor of numbers 499, 725, 133, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 499, 725, 133, 343 is 1.

1. What is the GCD of 499, 725, 133, 343?

GCD of given numbers 499, 725, 133, 343 is 1

2. How to calculate the greatest common divisor of 499, 725, 133, 343?

We can find the highest common divisor of 499, 725, 133, 343 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 499, 725, 133, 343 i.e 1.

3. How can I use the GCD of 499, 725, 133, 343Calculator?

Out the numbers 499, 725, 133, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.