GCD of 700, 869, 249, 553 Calculator

Given Input numbers are 700, 869, 249, 553

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 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 700, 869, 249, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 869, 249, 553 is 1.

Therefore, GCD of numbers 700, 869, 249, 553 is 1

Given Input Data is 700, 869, 249, 553

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 869 is 11 x 79

Prime Factorization of 249 is 3 x 83

Prime Factorization of 553 is 7 x 79

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, 869) = 608300

GCD(700, 869) = ( 700 x 869 ) / 608300

GCD(700, 869) = 608300 / 608300

GCD(700, 869) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 700, 869, 249, 553 is 1

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1. What is the GCD of 700, 869, 249, 553?

GCD of 700, 869, 249, 553 is 1

2. Where do I get the detailed procedure to find GCD of 700, 869, 249, 553?

You can find a detailed procedure to find GCD of 700, 869, 249, 553 on our page.

3. How to find GCD of 700, 869, 249, 553 on a calculator?

You can find the GCD of 700, 869, 249, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.