GCD of 748, 766, 26, 210 Calculator

Given Input numbers are 748, 766, 26, 210

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 748, 766, 26, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 766, 26, 210 is 2.

Therefore, GCD of numbers 748, 766, 26, 210 is 2

Given Input Data is 748, 766, 26, 210

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 766 is 2 x 383

Prime Factorization of 26 is 2 x 13

Prime Factorization of 210 is 2 x 3 x 5 x 7

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(748, 766) = 286484

GCD(748, 766) = ( 748 x 766 ) / 286484

GCD(748, 766) = 572968 / 286484

GCD(748, 766) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 210

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

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

GCD(2, 210) = 420 / 210

GCD(2, 210) = 2

GCD of 748, 766, 26, 210 is 2

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• GCD of 771, 108, 57, 353
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• GCD of 915, 625, 18, 984

1. What is the GCD of 748, 766, 26, 210?

GCD of 748, 766, 26, 210 is 2

2. Where do I get the detailed procedure to find GCD of 748, 766, 26, 210?

You can find a detailed procedure to find GCD of 748, 766, 26, 210 on our page.

3. How to find GCD of 748, 766, 26, 210 on a calculator?

You can find the GCD of 748, 766, 26, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.