GCD of 826, 948, 540, 738 Calculator

Given Input numbers are 826, 948, 540, 738

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

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 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 826, 948, 540, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 948, 540, 738 is 2.

Therefore, GCD of numbers 826, 948, 540, 738 is 2

Given Input Data is 826, 948, 540, 738

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

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(826, 948) = 391524

GCD(826, 948) = ( 826 x 948 ) / 391524

GCD(826, 948) = 783048 / 391524

GCD(826, 948) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 540

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

LCM(2, 540) = 540

GCD(2, 540) = ( 2 x 540 ) / 540

GCD(2, 540) = 1080 / 540

GCD(2, 540) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 738

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

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

GCD(2, 738) = 1476 / 738

GCD(2, 738) = 2

GCD of 826, 948, 540, 738 is 2

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1. What is the GCD of 826, 948, 540, 738?

GCD of 826, 948, 540, 738 is 2

2. Where do I get the detailed procedure to find GCD of 826, 948, 540, 738?

You can find a detailed procedure to find GCD of 826, 948, 540, 738 on our page.

3. How to find GCD of 826, 948, 540, 738 on a calculator?

You can find the GCD of 826, 948, 540, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.