GCD of 700, 866, 266, 436 Calculator

Given Input numbers are 700, 866, 266, 436

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 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Greatest Common Divisior

We found the divisors of 700, 866, 266, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 866, 266, 436 is 2.

Therefore, GCD of numbers 700, 866, 266, 436 is 2

Given Input Data is 700, 866, 266, 436

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 866 is 2 x 433

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 436 is 2 x 2 x 109

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 866) = 303100

GCD(700, 866) = ( 700 x 866 ) / 303100

GCD(700, 866) = 606200 / 303100

GCD(700, 866) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 266

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

LCM(2, 266) = 266

GCD(2, 266) = ( 2 x 266 ) / 266

GCD(2, 266) = 532 / 266

GCD(2, 266) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 436

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

LCM(2, 436) = 436

GCD(2, 436) = ( 2 x 436 ) / 436

GCD(2, 436) = 872 / 436

GCD(2, 436) = 2

GCD of 700, 866, 266, 436 is 2

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• GCD of 462, 576, 686, 858
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1. What is the GCD of 700, 866, 266, 436?

GCD of 700, 866, 266, 436 is 2

2. Where do I get the detailed procedure to find GCD of 700, 866, 266, 436?

You can find a detailed procedure to find GCD of 700, 866, 266, 436 on our page.

3. How to find GCD of 700, 866, 266, 436 on a calculator?

You can find the GCD of 700, 866, 266, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.