GCD of 830, 749, 958, 649 Calculator

Given Input numbers are 830, 749, 958, 649

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

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 830, 749, 958, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 749, 958, 649 is 1.

Therefore, GCD of numbers 830, 749, 958, 649 is 1

Given Input Data is 830, 749, 958, 649

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 749 is 7 x 107

Prime Factorization of 958 is 2 x 479

Prime Factorization of 649 is 11 x 59

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(830, 749) = 621670

GCD(830, 749) = ( 830 x 749 ) / 621670

GCD(830, 749) = 621670 / 621670

GCD(830, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 830, 749, 958, 649 is 1

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1. What is the GCD of 830, 749, 958, 649?

GCD of 830, 749, 958, 649 is 1

2. Where do I get the detailed procedure to find GCD of 830, 749, 958, 649?

You can find a detailed procedure to find GCD of 830, 749, 958, 649 on our page.

3. How to find GCD of 830, 749, 958, 649 on a calculator?

You can find the GCD of 830, 749, 958, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.