GCD of 916, 709, 141, 565 Calculator

Given Input numbers are 916, 709, 141, 565

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 916, 709, 141, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 709, 141, 565 is 1.

Therefore, GCD of numbers 916, 709, 141, 565 is 1

Given Input Data is 916, 709, 141, 565

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 709 is 709

Prime Factorization of 141 is 3 x 47

Prime Factorization of 565 is 5 x 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(916, 709) = 649444

GCD(916, 709) = ( 916 x 709 ) / 649444

GCD(916, 709) = 649444 / 649444

GCD(916, 709) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 916, 709, 141, 565 is 1

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• GCD of 386, 577, 241, 339
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1. What is the GCD of 916, 709, 141, 565?

GCD of 916, 709, 141, 565 is 1

2. Where do I get the detailed procedure to find GCD of 916, 709, 141, 565?

You can find a detailed procedure to find GCD of 916, 709, 141, 565 on our page.

3. How to find GCD of 916, 709, 141, 565 on a calculator?

You can find the GCD of 916, 709, 141, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.