GCD of 236, 880, 74, 538 Calculator

Given Input numbers are 236, 880, 74, 538

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

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 236, 880, 74, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 236, 880, 74, 538 is 2.

Therefore, GCD of numbers 236, 880, 74, 538 is 2

Given Input Data is 236, 880, 74, 538

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

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 74 is 2 x 37

Prime Factorization of 538 is 2 x 269

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(236, 880) = 51920

GCD(236, 880) = ( 236 x 880 ) / 51920

GCD(236, 880) = 207680 / 51920

GCD(236, 880) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 74

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

LCM(4, 74) = 148

GCD(4, 74) = ( 4 x 74 ) / 148

GCD(4, 74) = 296 / 148

GCD(4, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 538

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

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

GCD(2, 538) = 1076 / 538

GCD(2, 538) = 2

GCD of 236, 880, 74, 538 is 2

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• GCD of 976, 958, 30, 117
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1. What is the GCD of 236, 880, 74, 538?

GCD of 236, 880, 74, 538 is 2

2. Where do I get the detailed procedure to find GCD of 236, 880, 74, 538?

You can find a detailed procedure to find GCD of 236, 880, 74, 538 on our page.

3. How to find GCD of 236, 880, 74, 538 on a calculator?

You can find the GCD of 236, 880, 74, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.