GCD of 274, 245, 48, 120 Calculator

Given Input numbers are 274, 245, 48, 120

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 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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

Greatest Common Divisior

We found the divisors of 274, 245, 48, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 245, 48, 120 is 1.

Therefore, GCD of numbers 274, 245, 48, 120 is 1

Given Input Data is 274, 245, 48, 120

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

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

The above numbers do not have any common prime factor. So GCD is 1

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, 245) = 67130

GCD(274, 245) = ( 274 x 245 ) / 67130

GCD(274, 245) = 67130 / 67130

GCD(274, 245) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 274, 245, 48, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 514, 41, 482
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1. What is the GCD of 274, 245, 48, 120?

GCD of 274, 245, 48, 120 is 1

2. Where do I get the detailed procedure to find GCD of 274, 245, 48, 120?

You can find a detailed procedure to find GCD of 274, 245, 48, 120 on our page.

3. How to find GCD of 274, 245, 48, 120 on a calculator?

You can find the GCD of 274, 245, 48, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.