GCD of 142, 752, 854, 458 Calculator

Given Input numbers are 142, 752, 854, 458

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

Divisors of 142

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

1, 2, 71, 142

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 142, 752, 854, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 752, 854, 458 is 2.

Therefore, GCD of numbers 142, 752, 854, 458 is 2

Given Input Data is 142, 752, 854, 458

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 458 is 2 x 229

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(142, 752) = 53392

GCD(142, 752) = ( 142 x 752 ) / 53392

GCD(142, 752) = 106784 / 53392

GCD(142, 752) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 854

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

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

GCD(2, 854) = 1708 / 854

GCD(2, 854) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 458

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

LCM(2, 458) = 458

GCD(2, 458) = ( 2 x 458 ) / 458

GCD(2, 458) = 916 / 458

GCD(2, 458) = 2

GCD of 142, 752, 854, 458 is 2

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1. What is the GCD of 142, 752, 854, 458?

GCD of 142, 752, 854, 458 is 2

2. Where do I get the detailed procedure to find GCD of 142, 752, 854, 458?

You can find a detailed procedure to find GCD of 142, 752, 854, 458 on our page.

3. How to find GCD of 142, 752, 854, 458 on a calculator?

You can find the GCD of 142, 752, 854, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.