GCD of 274, 258, 88, 772 Calculator

Given Input numbers are 274, 258, 88, 772

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 274, 258, 88, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 258, 88, 772 is 2.

Therefore, GCD of numbers 274, 258, 88, 772 is 2

Given Input Data is 274, 258, 88, 772

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 772 is 2 x 2 x 193

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(274, 258) = 35346

GCD(274, 258) = ( 274 x 258 ) / 35346

GCD(274, 258) = 70692 / 35346

GCD(274, 258) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 88

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

LCM(2, 88) = 88

GCD(2, 88) = ( 2 x 88 ) / 88

GCD(2, 88) = 176 / 88

GCD(2, 88) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 772

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

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

GCD(2, 772) = 1544 / 772

GCD(2, 772) = 2

GCD of 274, 258, 88, 772 is 2

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1. What is the GCD of 274, 258, 88, 772?

GCD of 274, 258, 88, 772 is 2

2. Where do I get the detailed procedure to find GCD of 274, 258, 88, 772?

You can find a detailed procedure to find GCD of 274, 258, 88, 772 on our page.

3. How to find GCD of 274, 258, 88, 772 on a calculator?

You can find the GCD of 274, 258, 88, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.