GCD of 400, 925, 25, 740 Calculator

Given Input numbers are 400, 925, 25, 740

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 925

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

1, 5, 25, 37, 185, 925

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 400, 925, 25, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 925, 25, 740 is 5.

Therefore, GCD of numbers 400, 925, 25, 740 is 5

Given Input Data is 400, 925, 25, 740

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 25 is 5 x 5

Prime Factorization of 740 is 2 x 2 x 5 x 37

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(400, 925) = 14800

GCD(400, 925) = ( 400 x 925 ) / 14800

GCD(400, 925) = 370000 / 14800

GCD(400, 925) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 25

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

LCM(25, 25) = 25

GCD(25, 25) = ( 25 x 25 ) / 25

GCD(25, 25) = 625 / 25

GCD(25, 25) = 25

Step3:

Here we consider the GCD from the above i.e. 25 as first number and the next as 740

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

LCM(25, 740) = 3700

GCD(25, 740) = ( 25 x 740 ) / 3700

GCD(25, 740) = 18500 / 3700

GCD(25, 740) = 5

GCD of 400, 925, 25, 740 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 390, 925, 99, 608
• GCD of 895, 694, 43, 930
• GCD of 643, 538, 93, 970
• GCD of 639, 842, 13, 118
• GCD of 428, 705, 49, 906

1. What is the GCD of 400, 925, 25, 740?

GCD of 400, 925, 25, 740 is 5

2. Where do I get the detailed procedure to find GCD of 400, 925, 25, 740?

You can find a detailed procedure to find GCD of 400, 925, 25, 740 on our page.

3. How to find GCD of 400, 925, 25, 740 on a calculator?

You can find the GCD of 400, 925, 25, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.