GCD of 700, 291, 826, 990 Calculator

Given Input numbers are 700, 291, 826, 990

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 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 700, 291, 826, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 291, 826, 990 is 1.

Therefore, GCD of numbers 700, 291, 826, 990 is 1

Given Input Data is 700, 291, 826, 990

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 291 is 3 x 97

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 990 is 2 x 3 x 3 x 5 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(700, 291) = 203700

GCD(700, 291) = ( 700 x 291 ) / 203700

GCD(700, 291) = 203700 / 203700

GCD(700, 291) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 826

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

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 700, 291, 826, 990 is 1

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1. What is the GCD of 700, 291, 826, 990?

GCD of 700, 291, 826, 990 is 1

2. Where do I get the detailed procedure to find GCD of 700, 291, 826, 990?

You can find a detailed procedure to find GCD of 700, 291, 826, 990 on our page.

3. How to find GCD of 700, 291, 826, 990 on a calculator?

You can find the GCD of 700, 291, 826, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.