GCD of 120, 274, 778, 296 Calculator

Given Input numbers are 120, 274, 778, 296

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 274

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

1, 2, 137, 274

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 296

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

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

Greatest Common Divisior

We found the divisors of 120, 274, 778, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 274, 778, 296 is 2.

Therefore, GCD of numbers 120, 274, 778, 296 is 2

Given Input Data is 120, 274, 778, 296

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 274 is 2 x 137

Prime Factorization of 778 is 2 x 389

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

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(120, 274) = 16440

GCD(120, 274) = ( 120 x 274 ) / 16440

GCD(120, 274) = 32880 / 16440

GCD(120, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 778

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

LCM(2, 778) = 778

GCD(2, 778) = ( 2 x 778 ) / 778

GCD(2, 778) = 1556 / 778

GCD(2, 778) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 296

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

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

GCD(2, 296) = 592 / 296

GCD(2, 296) = 2

GCD of 120, 274, 778, 296 is 2

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1. What is the GCD of 120, 274, 778, 296?

GCD of 120, 274, 778, 296 is 2

2. Where do I get the detailed procedure to find GCD of 120, 274, 778, 296?

You can find a detailed procedure to find GCD of 120, 274, 778, 296 on our page.

3. How to find GCD of 120, 274, 778, 296 on a calculator?

You can find the GCD of 120, 274, 778, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.