GCD of 294, 732, 32, 707 Calculator

Given Input numbers are 294, 732, 32, 707

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 294, 732, 32, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 732, 32, 707 is 1.

Therefore, GCD of numbers 294, 732, 32, 707 is 1

Given Input Data is 294, 732, 32, 707

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 707 is 7 x 101

The above numbers do not have any common prime factor. So GCD is 1

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(294, 732) = 35868

GCD(294, 732) = ( 294 x 732 ) / 35868

GCD(294, 732) = 215208 / 35868

GCD(294, 732) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 32

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

LCM(6, 32) = 96

GCD(6, 32) = ( 6 x 32 ) / 96

GCD(6, 32) = 192 / 96

GCD(6, 32) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 707

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

LCM(2, 707) = 1414

GCD(2, 707) = ( 2 x 707 ) / 1414

GCD(2, 707) = 1414 / 1414

GCD(2, 707) = 1

GCD of 294, 732, 32, 707 is 1

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• GCD of 712, 647, 31, 347
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1. What is the GCD of 294, 732, 32, 707?

GCD of 294, 732, 32, 707 is 1

2. Where do I get the detailed procedure to find GCD of 294, 732, 32, 707?

You can find a detailed procedure to find GCD of 294, 732, 32, 707 on our page.

3. How to find GCD of 294, 732, 32, 707 on a calculator?

You can find the GCD of 294, 732, 32, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.