GCD of 296, 952, 292, 938 Calculator

Given Input numbers are 296, 952, 292, 938

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 296, 952, 292, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 952, 292, 938 is 2.

Therefore, GCD of numbers 296, 952, 292, 938 is 2

Given Input Data is 296, 952, 292, 938

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 938 is 2 x 7 x 67

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(296, 952) = 35224

GCD(296, 952) = ( 296 x 952 ) / 35224

GCD(296, 952) = 281792 / 35224

GCD(296, 952) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 292

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

LCM(8, 292) = 584

GCD(8, 292) = ( 8 x 292 ) / 584

GCD(8, 292) = 2336 / 584

GCD(8, 292) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 938

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

LCM(4, 938) = 1876

GCD(4, 938) = ( 4 x 938 ) / 1876

GCD(4, 938) = 3752 / 1876

GCD(4, 938) = 2

GCD of 296, 952, 292, 938 is 2

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1. What is the GCD of 296, 952, 292, 938?

GCD of 296, 952, 292, 938 is 2

2. Where do I get the detailed procedure to find GCD of 296, 952, 292, 938?

You can find a detailed procedure to find GCD of 296, 952, 292, 938 on our page.

3. How to find GCD of 296, 952, 292, 938 on a calculator?

You can find the GCD of 296, 952, 292, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.