GCD of 494, 116, 497, 709 Calculator

Given Input numbers are 494, 116, 497, 709

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 497 :

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

1, 7, 71, 497

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

GCD of numbers is the greatest common divisor

So, the GCD (494, 116, 497, 709) = 1.

Given numbers are 494, 116, 497, 709

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 116 are 2 x 2 x 29

Prime factors of 497 are 7 x 71

Prime factors of 709 are 709

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

Given numbers are 494, 116, 497, 709

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

Apply this formula for all numbers.

Step1:

LCM(494, 116) = 28652

GCD(494, 116) = ( 494 x 116 ) / 28652

= 494 / 116

= 494

Step2:

LCM(2, 497) = 994

GCD(2, 497) = ( 2 x 497 ) / 994

= 2 / 497

= 2

Step3:

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

= 1 / 709

= 1

So, Greatest Common Divisor of 494, 116, 497, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 933, 602, 946, 355
• GCD of 815, 579, 705, 907
• GCD of 580, 622, 542, 151
• GCD of 285, 799, 353, 644
• GCD of 342, 629, 248, 754

Given numbers are 494, 116, 497, 709
The greatest common divisor of numbers 494, 116, 497, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 116, 497, 709 is 1.

1. What is the GCD of 494, 116, 497, 709?

GCD of given numbers 494, 116, 497, 709 is 1

2. How to calculate the greatest common divisor of 494, 116, 497, 709?

We can find the highest common divisor of 494, 116, 497, 709 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 494, 116, 497, 709 i.e 1.

3. How can I use the GCD of 494, 116, 497, 709Calculator?

Out the numbers 494, 116, 497, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.