GCD of 782, 476, 493, 738 Calculator

Given Input numbers are 782, 476, 493, 738

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 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 493 :

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

1, 17, 29, 493

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (782, 476, 493, 738) = 1.

Given numbers are 782, 476, 493, 738

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 493 are 17 x 29

Prime factors of 738 are 2 x 3 x 3 x 41

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

Given numbers are 782, 476, 493, 738

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

Apply this formula for all numbers.

Step1:

LCM(782, 476) = 10948

GCD(782, 476) = ( 782 x 476 ) / 10948

= 782 / 476

= 782

Step2:

LCM(34, 493) = 986

GCD(34, 493) = ( 34 x 493 ) / 986

= 34 / 493

= 34

Step3:

LCM(17, 738) = 12546

GCD(17, 738) = ( 17 x 738 ) / 12546

= 17 / 738

= 17

So, Greatest Common Divisor of 782, 476, 493, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 883, 520, 233, 586
• GCD of 534, 485, 346, 886
• GCD of 638, 540, 765, 308
• GCD of 693, 453, 403, 937
• GCD of 107, 838, 909, 662

Given numbers are 782, 476, 493, 738
The greatest common divisor of numbers 782, 476, 493, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 476, 493, 738 is 1.

1. What is the GCD of 782, 476, 493, 738?

GCD of given numbers 782, 476, 493, 738 is 1

2. How to calculate the greatest common divisor of 782, 476, 493, 738?

We can find the highest common divisor of 782, 476, 493, 738 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, 476, 493, 738 i.e 1.

3. How can I use the GCD of 782, 476, 493, 738Calculator?

Out the numbers 782, 476, 493, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.