GCD of 834, 616, 545, 713 Calculator

Given Input numbers are 834, 616, 545, 713

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

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

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 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 834, 616, 545, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 616, 545, 713 is 1.

Therefore, GCD of numbers 834, 616, 545, 713 is 1

Given Input Data is 834, 616, 545, 713

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

Prime Factorization of 834 is 2 x 3 x 139

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

Prime Factorization of 545 is 5 x 109

Prime Factorization of 713 is 23 x 31

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(834, 616) = 256872

GCD(834, 616) = ( 834 x 616 ) / 256872

GCD(834, 616) = 513744 / 256872

GCD(834, 616) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 545

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

LCM(2, 545) = 1090

GCD(2, 545) = ( 2 x 545 ) / 1090

GCD(2, 545) = 1090 / 1090

GCD(2, 545) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

GCD of 834, 616, 545, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 199, 932, 293
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• GCD of 433, 998, 712, 914
• GCD of 117, 958, 120, 748
• GCD of 522, 621, 236, 161

1. What is the GCD of 834, 616, 545, 713?

GCD of 834, 616, 545, 713 is 1

2. Where do I get the detailed procedure to find GCD of 834, 616, 545, 713?

You can find a detailed procedure to find GCD of 834, 616, 545, 713 on our page.

3. How to find GCD of 834, 616, 545, 713 on a calculator?

You can find the GCD of 834, 616, 545, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.