GCD of 328, 714, 782, 748 Calculator

Given Input numbers are 328, 714, 782, 748

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

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 782 :

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

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (328, 714, 782, 748) = 2.

Given numbers are 328, 714, 782, 748

The list of prime factors of all numbers are

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 782 are 2 x 17 x 23

Prime factors of 748 are 2 x 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 328, 714, 782, 748 is 2.

Given numbers are 328, 714, 782, 748

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

Apply this formula for all numbers.

Step1:

LCM(328, 714) = 117096

GCD(328, 714) = ( 328 x 714 ) / 117096

= 328 / 714

= 328

Step2:

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

= 2 / 782

= 2

Step3:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

So, Greatest Common Divisor of 328, 714, 782, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 569, 305, 563, 453
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• GCD of 603, 501, 298, 725
• GCD of 310, 799, 284, 545

Given numbers are 328, 714, 782, 748
The greatest common divisor of numbers 328, 714, 782, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 714, 782, 748 is 2.

1. What is the GCD of 328, 714, 782, 748?

GCD of given numbers 328, 714, 782, 748 is 2

2. How to calculate the greatest common divisor of 328, 714, 782, 748?

We can find the highest common divisor of 328, 714, 782, 748 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 328, 714, 782, 748 i.e 2.

3. How can I use the GCD of 328, 714, 782, 748Calculator?

Out the numbers 328, 714, 782, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.