GCD of 700, 388, 611, 565 Calculator

Given Input numbers are 700, 388, 611, 565

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

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 611

List of positive integer divisors of 611 that divides 611 without a remainder.

1, 13, 47, 611

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 700, 388, 611, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 388, 611, 565 is 1.

Therefore, GCD of numbers 700, 388, 611, 565 is 1

Given Input Data is 700, 388, 611, 565

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

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 611 is 13 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(700, 388) = 67900

GCD(700, 388) = ( 700 x 388 ) / 67900

GCD(700, 388) = 271600 / 67900

GCD(700, 388) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 611

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

LCM(4, 611) = 2444

GCD(4, 611) = ( 4 x 611 ) / 2444

GCD(4, 611) = 2444 / 2444

GCD(4, 611) = 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 700, 388, 611, 565 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 115, 411, 362
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• GCD of 695, 380, 583, 467
• GCD of 403, 748, 992, 394
• GCD of 800, 610, 673, 202

1. What is the GCD of 700, 388, 611, 565?

GCD of 700, 388, 611, 565 is 1

2. Where do I get the detailed procedure to find GCD of 700, 388, 611, 565?

You can find a detailed procedure to find GCD of 700, 388, 611, 565 on our page.

3. How to find GCD of 700, 388, 611, 565 on a calculator?

You can find the GCD of 700, 388, 611, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.