GCD of 932, 536, 746, 804 Calculator

Given Input numbers are 932, 536, 746, 804

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

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Greatest Common Divisior

We found the divisors of 932, 536, 746, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 932, 536, 746, 804 is 2.

Therefore, GCD of numbers 932, 536, 746, 804 is 2

Given Input Data is 932, 536, 746, 804

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

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 746 is 2 x 373

Prime Factorization of 804 is 2 x 2 x 3 x 67

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(932, 536) = 124888

GCD(932, 536) = ( 932 x 536 ) / 124888

GCD(932, 536) = 499552 / 124888

GCD(932, 536) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 746

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

LCM(4, 746) = 1492

GCD(4, 746) = ( 4 x 746 ) / 1492

GCD(4, 746) = 2984 / 1492

GCD(4, 746) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 804

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

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

GCD(2, 804) = 1608 / 804

GCD(2, 804) = 2

GCD of 932, 536, 746, 804 is 2

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1. What is the GCD of 932, 536, 746, 804?

GCD of 932, 536, 746, 804 is 2

2. Where do I get the detailed procedure to find GCD of 932, 536, 746, 804?

You can find a detailed procedure to find GCD of 932, 536, 746, 804 on our page.

3. How to find GCD of 932, 536, 746, 804 on a calculator?

You can find the GCD of 932, 536, 746, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.