GCD of 782, 494, 312, 325 Calculator

Given Input numbers are 782, 494, 312, 325

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 494 :

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

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

GCD of numbers is the greatest common divisor

So, the GCD (782, 494, 312, 325) = 1.

Given numbers are 782, 494, 312, 325

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 494 are 2 x 13 x 19

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 325 are 5 x 5 x 13

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

Given numbers are 782, 494, 312, 325

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

Apply this formula for all numbers.

Step1:

LCM(782, 494) = 193154

GCD(782, 494) = ( 782 x 494 ) / 193154

= 782 / 494

= 782

Step2:

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

= 2 / 312

= 2

Step3:

LCM(2, 325) = 650

GCD(2, 325) = ( 2 x 325 ) / 650

= 2 / 325

= 2

So, Greatest Common Divisor of 782, 494, 312, 325 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 188, 792, 425
• GCD of 175, 884, 354, 632
• GCD of 929, 864, 115, 693
• GCD of 418, 674, 717, 908
• GCD of 408, 572, 942, 437

Given numbers are 782, 494, 312, 325
The greatest common divisor of numbers 782, 494, 312, 325 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 494, 312, 325 is 1.

1. What is the GCD of 782, 494, 312, 325?

GCD of given numbers 782, 494, 312, 325 is 1

2. How to calculate the greatest common divisor of 782, 494, 312, 325?

We can find the highest common divisor of 782, 494, 312, 325 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 782, 494, 312, 325 i.e 1.

3. How can I use the GCD of 782, 494, 312, 325Calculator?

Out the numbers 782, 494, 312, 325 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.