GCD of 493, 686, 772, 316 Calculator

Given Input numbers are 493, 686, 772, 316

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 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

GCD of numbers is the greatest common divisor

So, the GCD (493, 686, 772, 316) = 1.

Given numbers are 493, 686, 772, 316

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 772 are 2 x 2 x 193

Prime factors of 316 are 2 x 2 x 79

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

Given numbers are 493, 686, 772, 316

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

Apply this formula for all numbers.

Step1:

LCM(493, 686) = 338198

GCD(493, 686) = ( 493 x 686 ) / 338198

= 493 / 686

= 493

Step2:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1

Step3:

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

= 1 / 316

= 1

So, Greatest Common Divisor of 493, 686, 772, 316 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 598, 938, 722, 524
• GCD of 946, 898, 420, 938
• GCD of 986, 479, 694, 589
• GCD of 492, 744, 460, 646
• GCD of 572, 152, 473, 759

Given numbers are 493, 686, 772, 316
The greatest common divisor of numbers 493, 686, 772, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 686, 772, 316 is 1.

1. What is the GCD of 493, 686, 772, 316?

GCD of given numbers 493, 686, 772, 316 is 1

2. How to calculate the greatest common divisor of 493, 686, 772, 316?

We can find the highest common divisor of 493, 686, 772, 316 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, 686, 772, 316 i.e 1.

3. How can I use the GCD of 493, 686, 772, 316Calculator?

Out the numbers 493, 686, 772, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.