GCD of 942, 754, 824, 264 Calculator

Given Input numbers are 942, 754, 824, 264

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

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 942, 754, 824, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 754, 824, 264 is 2.

Therefore, GCD of numbers 942, 754, 824, 264 is 2

Given Input Data is 942, 754, 824, 264

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

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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(942, 754) = 355134

GCD(942, 754) = ( 942 x 754 ) / 355134

GCD(942, 754) = 710268 / 355134

GCD(942, 754) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 824

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

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

GCD(2, 824) = 1648 / 824

GCD(2, 824) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 264

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

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

GCD(2, 264) = 528 / 264

GCD(2, 264) = 2

GCD of 942, 754, 824, 264 is 2

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1. What is the GCD of 942, 754, 824, 264?

GCD of 942, 754, 824, 264 is 2

2. Where do I get the detailed procedure to find GCD of 942, 754, 824, 264?

You can find a detailed procedure to find GCD of 942, 754, 824, 264 on our page.

3. How to find GCD of 942, 754, 824, 264 on a calculator?

You can find the GCD of 942, 754, 824, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.