GCD of 565, 707, 31, 546 Calculator

Given Input numbers are 565, 707, 31, 546

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 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Greatest Common Divisior

We found the divisors of 565, 707, 31, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 707, 31, 546 is 1.

Therefore, GCD of numbers 565, 707, 31, 546 is 1

Given Input Data is 565, 707, 31, 546

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 707 is 7 x 101

Prime Factorization of 31 is 31

Prime Factorization of 546 is 2 x 3 x 7 x 13

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, 707) = 399455

GCD(565, 707) = ( 565 x 707 ) / 399455

GCD(565, 707) = 399455 / 399455

GCD(565, 707) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 546

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

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

GCD(1, 546) = 546 / 546

GCD(1, 546) = 1

GCD of 565, 707, 31, 546 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 469, 413, 65, 802
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• GCD of 274, 282, 61, 136
• GCD of 464, 662, 70, 400
• GCD of 735, 825, 69, 335

1. What is the GCD of 565, 707, 31, 546?

GCD of 565, 707, 31, 546 is 1

2. Where do I get the detailed procedure to find GCD of 565, 707, 31, 546?

You can find a detailed procedure to find GCD of 565, 707, 31, 546 on our page.

3. How to find GCD of 565, 707, 31, 546 on a calculator?

You can find the GCD of 565, 707, 31, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.