GCD of 971, 784, 55, 565 Calculator

Given Input numbers are 971, 784, 55, 565

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

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

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 971, 784, 55, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 784, 55, 565 is 1.

Therefore, GCD of numbers 971, 784, 55, 565 is 1

Given Input Data is 971, 784, 55, 565

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

Prime Factorization of 971 is 971

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 55 is 5 x 11

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(971, 784) = 761264

GCD(971, 784) = ( 971 x 784 ) / 761264

GCD(971, 784) = 761264 / 761264

GCD(971, 784) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 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 971, 784, 55, 565 is 1

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1. What is the GCD of 971, 784, 55, 565?

GCD of 971, 784, 55, 565 is 1

2. Where do I get the detailed procedure to find GCD of 971, 784, 55, 565?

You can find a detailed procedure to find GCD of 971, 784, 55, 565 on our page.

3. How to find GCD of 971, 784, 55, 565 on a calculator?

You can find the GCD of 971, 784, 55, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.