GCD of 682, 112, 782 Calculator

Given Input numbers are 682, 112, 782

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 782 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (682, 112, 782) = 2.

Given numbers are 682, 112, 782

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 782 are 2 x 17 x 23

The highest common occurrence is 2¹

Therefore, GCD of 682, 112, 782 is 2.

Given numbers are 682, 112, 782

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

Apply this formula for all numbers.

Step1:

LCM(682, 112) = 38192

GCD(682, 112) = ( 682 x 112 ) / 38192

= 682 / 112

= 682

Step2:

LCM(2, 782) = 782

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

= 2 / 782

= 2

So, Greatest Common Divisor of 682, 112, 782 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 358, 330, 155
• GCD of 920, 117, 159
• GCD of 673, 881, 850
• GCD of 121, 340, 203
• GCD of 165, 329, 335

Given numbers are 682, 112, 782
The greatest common divisor of numbers 682, 112, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 112, 782 is 2.

1. What is the GCD of 682, 112, 782?

GCD of given numbers 682, 112, 782 is 2

2. How to calculate the greatest common divisor of 682, 112, 782?

We can find the highest common divisor of 682, 112, 782 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 682, 112, 782 i.e 2.

3. How can I use the GCD of 682, 112, 782Calculator?

Out the numbers 682, 112, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.