GCD of 125, 955, 40, 240 Calculator

Given Input numbers are 125, 955, 40, 240

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

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 125, 955, 40, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 955, 40, 240 is 5.

Therefore, GCD of numbers 125, 955, 40, 240 is 5

Given Input Data is 125, 955, 40, 240

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 955 is 5 x 191

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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(125, 955) = 23875

GCD(125, 955) = ( 125 x 955 ) / 23875

GCD(125, 955) = 119375 / 23875

GCD(125, 955) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 40

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

LCM(5, 40) = 40

GCD(5, 40) = ( 5 x 40 ) / 40

GCD(5, 40) = 200 / 40

GCD(5, 40) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 240

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

LCM(5, 240) = 240

GCD(5, 240) = ( 5 x 240 ) / 240

GCD(5, 240) = 1200 / 240

GCD(5, 240) = 5

GCD of 125, 955, 40, 240 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 331, 13, 752
• GCD of 181, 904, 74, 194
• GCD of 412, 868, 79, 329
• GCD of 242, 717, 54, 650
• GCD of 970, 145, 30, 419

1. What is the GCD of 125, 955, 40, 240?

GCD of 125, 955, 40, 240 is 5

2. Where do I get the detailed procedure to find GCD of 125, 955, 40, 240?

You can find a detailed procedure to find GCD of 125, 955, 40, 240 on our page.

3. How to find GCD of 125, 955, 40, 240 on a calculator?

You can find the GCD of 125, 955, 40, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.