GCD of 736, 356, 54, 832 Calculator

Given Input numbers are 736, 356, 54, 832

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Greatest Common Divisior

We found the divisors of 736, 356, 54, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 356, 54, 832 is 2.

Therefore, GCD of numbers 736, 356, 54, 832 is 2

Given Input Data is 736, 356, 54, 832

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

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(736, 356) = 65504

GCD(736, 356) = ( 736 x 356 ) / 65504

GCD(736, 356) = 262016 / 65504

GCD(736, 356) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 54

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

LCM(4, 54) = 108

GCD(4, 54) = ( 4 x 54 ) / 108

GCD(4, 54) = 216 / 108

GCD(4, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 832

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

LCM(2, 832) = 832

GCD(2, 832) = ( 2 x 832 ) / 832

GCD(2, 832) = 1664 / 832

GCD(2, 832) = 2

GCD of 736, 356, 54, 832 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 131, 206, 20, 290
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• GCD of 451, 729, 28, 136

1. What is the GCD of 736, 356, 54, 832?

GCD of 736, 356, 54, 832 is 2

2. Where do I get the detailed procedure to find GCD of 736, 356, 54, 832?

You can find a detailed procedure to find GCD of 736, 356, 54, 832 on our page.

3. How to find GCD of 736, 356, 54, 832 on a calculator?

You can find the GCD of 736, 356, 54, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.