GCD of 92, 120, 265, 457 Calculator

Given Input numbers are 92, 120, 265, 457

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

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

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 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 92, 120, 265, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 92, 120, 265, 457 is 1.

Therefore, GCD of numbers 92, 120, 265, 457 is 1

Given Input Data is 92, 120, 265, 457

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

Prime Factorization of 92 is 2 x 2 x 23

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

Prime Factorization of 265 is 5 x 53

Prime Factorization of 457 is 457

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(92, 120) = 2760

GCD(92, 120) = ( 92 x 120 ) / 2760

GCD(92, 120) = 11040 / 2760

GCD(92, 120) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 265

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

LCM(4, 265) = 1060

GCD(4, 265) = ( 4 x 265 ) / 1060

GCD(4, 265) = 1060 / 1060

GCD(4, 265) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 92, 120, 265, 457 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 224, 980, 299
• GCD of 49, 653, 353, 355
• GCD of 30, 116, 930, 549
• GCD of 96, 692, 347, 232
• GCD of 52, 873, 216, 181

1. What is the GCD of 92, 120, 265, 457?

GCD of 92, 120, 265, 457 is 1

2. Where do I get the detailed procedure to find GCD of 92, 120, 265, 457?

You can find a detailed procedure to find GCD of 92, 120, 265, 457 on our page.

3. How to find GCD of 92, 120, 265, 457 on a calculator?

You can find the GCD of 92, 120, 265, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.