GCD of 952, 268, 78, 272 Calculator

Given Input numbers are 952, 268, 78, 272

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

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 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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 952, 268, 78, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 268, 78, 272 is 2.

Therefore, GCD of numbers 952, 268, 78, 272 is 2

Given Input Data is 952, 268, 78, 272

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

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 78 is 2 x 3 x 13

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(952, 268) = 63784

GCD(952, 268) = ( 952 x 268 ) / 63784

GCD(952, 268) = 255136 / 63784

GCD(952, 268) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 78

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

LCM(4, 78) = 156

GCD(4, 78) = ( 4 x 78 ) / 156

GCD(4, 78) = 312 / 156

GCD(4, 78) = 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 952, 268, 78, 272 is 2

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1. What is the GCD of 952, 268, 78, 272?

GCD of 952, 268, 78, 272 is 2

2. Where do I get the detailed procedure to find GCD of 952, 268, 78, 272?

You can find a detailed procedure to find GCD of 952, 268, 78, 272 on our page.

3. How to find GCD of 952, 268, 78, 272 on a calculator?

You can find the GCD of 952, 268, 78, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.