GCD of 925, 265, 95, 920 Calculator

Given Input numbers are 925, 265, 95, 920

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

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 265

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

1, 5, 53, 265

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 925, 265, 95, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 925, 265, 95, 920 is 5.

Therefore, GCD of numbers 925, 265, 95, 920 is 5

Given Input Data is 925, 265, 95, 920

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

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 265 is 5 x 53

Prime Factorization of 95 is 5 x 19

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(925, 265) = 49025

GCD(925, 265) = ( 925 x 265 ) / 49025

GCD(925, 265) = 245125 / 49025

GCD(925, 265) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 95

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

LCM(5, 95) = 95

GCD(5, 95) = ( 5 x 95 ) / 95

GCD(5, 95) = 475 / 95

GCD(5, 95) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 920

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

LCM(5, 920) = 920

GCD(5, 920) = ( 5 x 920 ) / 920

GCD(5, 920) = 4600 / 920

GCD(5, 920) = 5

GCD of 925, 265, 95, 920 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 775, 58, 627
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• GCD of 315, 238, 12, 561

1. What is the GCD of 925, 265, 95, 920?

GCD of 925, 265, 95, 920 is 5

2. Where do I get the detailed procedure to find GCD of 925, 265, 95, 920?

You can find a detailed procedure to find GCD of 925, 265, 95, 920 on our page.

3. How to find GCD of 925, 265, 95, 920 on a calculator?

You can find the GCD of 925, 265, 95, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.