GCD of 874, 354, 94, 272 Calculator

Given Input numbers are 874, 354, 94, 272

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 874, 354, 94, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 354, 94, 272 is 2.

Therefore, GCD of numbers 874, 354, 94, 272 is 2

Given Input Data is 874, 354, 94, 272

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 94 is 2 x 47

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(874, 354) = 154698

GCD(874, 354) = ( 874 x 354 ) / 154698

GCD(874, 354) = 309396 / 154698

GCD(874, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 94

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

LCM(2, 94) = 94

GCD(2, 94) = ( 2 x 94 ) / 94

GCD(2, 94) = 188 / 94

GCD(2, 94) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 272

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

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

GCD(2, 272) = 544 / 272

GCD(2, 272) = 2

GCD of 874, 354, 94, 272 is 2

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• GCD of 637, 931, 58, 671
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1. What is the GCD of 874, 354, 94, 272?

GCD of 874, 354, 94, 272 is 2

2. Where do I get the detailed procedure to find GCD of 874, 354, 94, 272?

You can find a detailed procedure to find GCD of 874, 354, 94, 272 on our page.

3. How to find GCD of 874, 354, 94, 272 on a calculator?

You can find the GCD of 874, 354, 94, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.