GCD of 732, 142, 34, 542 Calculator

Given Input numbers are 732, 142, 34, 542

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

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 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 732, 142, 34, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 142, 34, 542 is 2.

Therefore, GCD of numbers 732, 142, 34, 542 is 2

Given Input Data is 732, 142, 34, 542

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

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 34 is 2 x 17

Prime Factorization of 542 is 2 x 271

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(732, 142) = 51972

GCD(732, 142) = ( 732 x 142 ) / 51972

GCD(732, 142) = 103944 / 51972

GCD(732, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 542

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

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

GCD(2, 542) = 1084 / 542

GCD(2, 542) = 2

GCD of 732, 142, 34, 542 is 2

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• GCD of 461, 491, 76, 711
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1. What is the GCD of 732, 142, 34, 542?

GCD of 732, 142, 34, 542 is 2

2. Where do I get the detailed procedure to find GCD of 732, 142, 34, 542?

You can find a detailed procedure to find GCD of 732, 142, 34, 542 on our page.

3. How to find GCD of 732, 142, 34, 542 on a calculator?

You can find the GCD of 732, 142, 34, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.