GCD of 670, 826, 516, 917 Calculator

Given Input numbers are 670, 826, 516, 917

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 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 670, 826, 516, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 826, 516, 917 is 1.

Therefore, GCD of numbers 670, 826, 516, 917 is 1

Given Input Data is 670, 826, 516, 917

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 826 is 2 x 7 x 59

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 917 is 7 x 131

The above numbers do not have any common prime factor. So GCD is 1

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, 826) = 276710

GCD(670, 826) = ( 670 x 826 ) / 276710

GCD(670, 826) = 553420 / 276710

GCD(670, 826) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 516

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

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

GCD(2, 516) = 1032 / 516

GCD(2, 516) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 917

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

LCM(2, 917) = 1834

GCD(2, 917) = ( 2 x 917 ) / 1834

GCD(2, 917) = 1834 / 1834

GCD(2, 917) = 1

GCD of 670, 826, 516, 917 is 1

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1. What is the GCD of 670, 826, 516, 917?

GCD of 670, 826, 516, 917 is 1

2. Where do I get the detailed procedure to find GCD of 670, 826, 516, 917?

You can find a detailed procedure to find GCD of 670, 826, 516, 917 on our page.

3. How to find GCD of 670, 826, 516, 917 on a calculator?

You can find the GCD of 670, 826, 516, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.