GCD of 274, 702, 66, 250 Calculator

Given Input numbers are 274, 702, 66, 250

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 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Greatest Common Divisior

We found the divisors of 274, 702, 66, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 702, 66, 250 is 2.

Therefore, GCD of numbers 274, 702, 66, 250 is 2

Given Input Data is 274, 702, 66, 250

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 250 is 2 x 5 x 5 x 5

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, 702) = 96174

GCD(274, 702) = ( 274 x 702 ) / 96174

GCD(274, 702) = 192348 / 96174

GCD(274, 702) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 250

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

LCM(2, 250) = 250

GCD(2, 250) = ( 2 x 250 ) / 250

GCD(2, 250) = 500 / 250

GCD(2, 250) = 2

GCD of 274, 702, 66, 250 is 2

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• GCD of 649, 489, 16, 817
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1. What is the GCD of 274, 702, 66, 250?

GCD of 274, 702, 66, 250 is 2

2. Where do I get the detailed procedure to find GCD of 274, 702, 66, 250?

You can find a detailed procedure to find GCD of 274, 702, 66, 250 on our page.

3. How to find GCD of 274, 702, 66, 250 on a calculator?

You can find the GCD of 274, 702, 66, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.