GCD of 46, 572, 734, 712 Calculator

Given Input numbers are 46, 572, 734, 712

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 46, 572, 734, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 572, 734, 712 is 2.

Therefore, GCD of numbers 46, 572, 734, 712 is 2

Given Input Data is 46, 572, 734, 712

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 734 is 2 x 367

Prime Factorization of 712 is 2 x 2 x 2 x 89

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(46, 572) = 13156

GCD(46, 572) = ( 46 x 572 ) / 13156

GCD(46, 572) = 26312 / 13156

GCD(46, 572) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 734

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

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

GCD(2, 734) = 1468 / 734

GCD(2, 734) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 712

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

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

GCD(2, 712) = 1424 / 712

GCD(2, 712) = 2

GCD of 46, 572, 734, 712 is 2

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• GCD of 53, 696, 893, 267

1. What is the GCD of 46, 572, 734, 712?

GCD of 46, 572, 734, 712 is 2

2. Where do I get the detailed procedure to find GCD of 46, 572, 734, 712?

You can find a detailed procedure to find GCD of 46, 572, 734, 712 on our page.

3. How to find GCD of 46, 572, 734, 712 on a calculator?

You can find the GCD of 46, 572, 734, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.