GCD of 712, 670, 782 Calculator

Given Input numbers are 712, 670, 782

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

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

Greatest Common Divisior

We found the divisors of 712, 670, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 670, 782 is 2.

Therefore, GCD of numbers 712, 670, 782 is 2

Given Input Data is 712, 670, 782

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 782 is 2 x 17 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(712, 670) = 238520

GCD(712, 670) = ( 712 x 670 ) / 238520

GCD(712, 670) = 477040 / 238520

GCD(712, 670) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 782

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

LCM(2, 782) = 782

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

GCD(2, 782) = 1564 / 782

GCD(2, 782) = 2

GCD of 712, 670, 782 is 2

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1. What is the GCD of 712, 670, 782?

GCD of 712, 670, 782 is 2

2. Where do I get the detailed procedure to find GCD of 712, 670, 782?

You can find a detailed procedure to find GCD of 712, 670, 782 on our page.

3. How to find GCD of 712, 670, 782 on a calculator?

You can find the GCD of 712, 670, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.