GCD of 565, 678, 712, 847 Calculator

Given Input numbers are 565, 678, 712, 847

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

Divisors of 565

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

1, 5, 113, 565

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Greatest Common Divisior

We found the divisors of 565, 678, 712, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 678, 712, 847 is 1.

Therefore, GCD of numbers 565, 678, 712, 847 is 1

Given Input Data is 565, 678, 712, 847

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 847 is 7 x 11 x 11

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(565, 678) = 3390

GCD(565, 678) = ( 565 x 678 ) / 3390

GCD(565, 678) = 383070 / 3390

GCD(565, 678) = 113

Step2:

Here we consider the GCD from the above i.e. 113 as first number and the next as 712

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

LCM(113, 712) = 80456

GCD(113, 712) = ( 113 x 712 ) / 80456

GCD(113, 712) = 80456 / 80456

GCD(113, 712) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 847

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

LCM(1, 847) = 847

GCD(1, 847) = ( 1 x 847 ) / 847

GCD(1, 847) = 847 / 847

GCD(1, 847) = 1

GCD of 565, 678, 712, 847 is 1

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1. What is the GCD of 565, 678, 712, 847?

GCD of 565, 678, 712, 847 is 1

2. Where do I get the detailed procedure to find GCD of 565, 678, 712, 847?

You can find a detailed procedure to find GCD of 565, 678, 712, 847 on our page.

3. How to find GCD of 565, 678, 712, 847 on a calculator?

You can find the GCD of 565, 678, 712, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.