GCD of 782, 958, 784 Calculator

Given Input numbers are 782, 958, 784

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 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

GCD of numbers is the greatest common divisor

So, the GCD (782, 958, 784) = 2.

Given numbers are 782, 958, 784

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 958 are 2 x 479

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 782, 958, 784 is 2.

Given numbers are 782, 958, 784

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

Apply this formula for all numbers.

Step1:

LCM(782, 958) = 374578

GCD(782, 958) = ( 782 x 958 ) / 374578

= 782 / 958

= 782

Step2:

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

= 2 / 784

= 2

So, Greatest Common Divisor of 782, 958, 784 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 427, 259
• GCD of 108, 500, 977
• GCD of 957, 782, 414
• GCD of 699, 112, 166
• GCD of 331, 897, 593

Given numbers are 782, 958, 784
The greatest common divisor of numbers 782, 958, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 958, 784 is 2.

1. What is the GCD of 782, 958, 784?

GCD of given numbers 782, 958, 784 is 2

2. How to calculate the greatest common divisor of 782, 958, 784?

We can find the highest common divisor of 782, 958, 784 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, 958, 784 i.e 2.

3. How can I use the GCD of 782, 958, 784Calculator?

Out the numbers 782, 958, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.