GCD of 616, 690, 838, 113 Calculator

Given Input numbers are 616, 690, 838, 113

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

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 616, 690, 838, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 690, 838, 113 is 1.

Therefore, GCD of numbers 616, 690, 838, 113 is 1

Given Input Data is 616, 690, 838, 113

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 838 is 2 x 419

Prime Factorization of 113 is 113

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(616, 690) = 212520

GCD(616, 690) = ( 616 x 690 ) / 212520

GCD(616, 690) = 425040 / 212520

GCD(616, 690) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 838

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

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

GCD(2, 838) = 1676 / 838

GCD(2, 838) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 113

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

LCM(2, 113) = 226

GCD(2, 113) = ( 2 x 113 ) / 226

GCD(2, 113) = 226 / 226

GCD(2, 113) = 1

GCD of 616, 690, 838, 113 is 1

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• GCD of 866, 125, 289, 988
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1. What is the GCD of 616, 690, 838, 113?

GCD of 616, 690, 838, 113 is 1

2. Where do I get the detailed procedure to find GCD of 616, 690, 838, 113?

You can find a detailed procedure to find GCD of 616, 690, 838, 113 on our page.

3. How to find GCD of 616, 690, 838, 113 on a calculator?

You can find the GCD of 616, 690, 838, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.