GCD of 670, 678, 786, 654 Calculator

Given Input numbers are 670, 678, 786, 654

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

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 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

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 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 670, 678, 786, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 678, 786, 654 is 2.

Therefore, GCD of numbers 670, 678, 786, 654 is 2

Given Input Data is 670, 678, 786, 654

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

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 654 is 2 x 3 x 109

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(670, 678) = 227130

GCD(670, 678) = ( 670 x 678 ) / 227130

GCD(670, 678) = 454260 / 227130

GCD(670, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 786

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

LCM(2, 786) = 786

GCD(2, 786) = ( 2 x 786 ) / 786

GCD(2, 786) = 1572 / 786

GCD(2, 786) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 654

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

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

GCD(2, 654) = 1308 / 654

GCD(2, 654) = 2

GCD of 670, 678, 786, 654 is 2

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1. What is the GCD of 670, 678, 786, 654?

GCD of 670, 678, 786, 654 is 2

2. Where do I get the detailed procedure to find GCD of 670, 678, 786, 654?

You can find a detailed procedure to find GCD of 670, 678, 786, 654 on our page.

3. How to find GCD of 670, 678, 786, 654 on a calculator?

You can find the GCD of 670, 678, 786, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.