GCD of 493, 471, 814, 925 Calculator

Given Input numbers are 493, 471, 814, 925

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

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925

GCD of numbers is the greatest common divisor

So, the GCD (493, 471, 814, 925) = 1.

Given numbers are 493, 471, 814, 925

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 471 are 3 x 157

Prime factors of 814 are 2 x 11 x 37

Prime factors of 925 are 5 x 5 x 37

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

Given numbers are 493, 471, 814, 925

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

Apply this formula for all numbers.

Step1:

LCM(493, 471) = 232203

GCD(493, 471) = ( 493 x 471 ) / 232203

= 493 / 471

= 493

Step2:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

Step3:

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

= 1 / 925

= 1

So, Greatest Common Divisor of 493, 471, 814, 925 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 317, 764, 405, 163
• GCD of 346, 916, 767, 113
• GCD of 992, 268, 896, 822
• GCD of 998, 894, 497, 651
• GCD of 932, 414, 627, 279

Given numbers are 493, 471, 814, 925
The greatest common divisor of numbers 493, 471, 814, 925 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 471, 814, 925 is 1.

1. What is the GCD of 493, 471, 814, 925?

GCD of given numbers 493, 471, 814, 925 is 1

2. How to calculate the greatest common divisor of 493, 471, 814, 925?

We can find the highest common divisor of 493, 471, 814, 925 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 493, 471, 814, 925 i.e 1.

3. How can I use the GCD of 493, 471, 814, 925Calculator?

Out the numbers 493, 471, 814, 925 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.