GCD of 524, 734, 350, 706 Calculator

Given Input numbers are 524, 734, 350, 706

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 734

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

1, 2, 367, 734

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 524, 734, 350, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 734, 350, 706 is 2.

Therefore, GCD of numbers 524, 734, 350, 706 is 2

Given Input Data is 524, 734, 350, 706

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 734 is 2 x 367

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 706 is 2 x 353

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(524, 734) = 192308

GCD(524, 734) = ( 524 x 734 ) / 192308

GCD(524, 734) = 384616 / 192308

GCD(524, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 350

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

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

GCD(2, 350) = 700 / 350

GCD(2, 350) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 706

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

LCM(2, 706) = 706

GCD(2, 706) = ( 2 x 706 ) / 706

GCD(2, 706) = 1412 / 706

GCD(2, 706) = 2

GCD of 524, 734, 350, 706 is 2

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• GCD of 210, 578, 219, 955
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• GCD of 722, 752, 892, 656
• GCD of 442, 336, 184, 515

1. What is the GCD of 524, 734, 350, 706?

GCD of 524, 734, 350, 706 is 2

2. Where do I get the detailed procedure to find GCD of 524, 734, 350, 706?

You can find a detailed procedure to find GCD of 524, 734, 350, 706 on our page.

3. How to find GCD of 524, 734, 350, 706 on a calculator?

You can find the GCD of 524, 734, 350, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.