GCD of 786, 398, 670 Calculator

Given Input numbers are 786, 398, 670

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

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 670

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

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

Greatest Common Divisior

We found the divisors of 786, 398, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 398, 670 is 2.

Therefore, GCD of numbers 786, 398, 670 is 2

Given Input Data is 786, 398, 670

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

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 398 is 2 x 199

Prime Factorization of 670 is 2 x 5 x 67

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(786, 398) = 156414

GCD(786, 398) = ( 786 x 398 ) / 156414

GCD(786, 398) = 312828 / 156414

GCD(786, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 670

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

LCM(2, 670) = 670

GCD(2, 670) = ( 2 x 670 ) / 670

GCD(2, 670) = 1340 / 670

GCD(2, 670) = 2

GCD of 786, 398, 670 is 2

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• GCD of 690, 939, 267
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1. What is the GCD of 786, 398, 670?

GCD of 786, 398, 670 is 2

2. Where do I get the detailed procedure to find GCD of 786, 398, 670?

You can find a detailed procedure to find GCD of 786, 398, 670 on our page.

3. How to find GCD of 786, 398, 670 on a calculator?

You can find the GCD of 786, 398, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.