GCD of 40, 914, 625, 889 Calculator

Given Input numbers are 40, 914, 625, 889

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

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 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 40, 914, 625, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 914, 625, 889 is 1.

Therefore, GCD of numbers 40, 914, 625, 889 is 1

Given Input Data is 40, 914, 625, 889

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

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 889 is 7 x 127

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(40, 914) = 18280

GCD(40, 914) = ( 40 x 914 ) / 18280

GCD(40, 914) = 36560 / 18280

GCD(40, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 625

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

LCM(2, 625) = 1250

GCD(2, 625) = ( 2 x 625 ) / 1250

GCD(2, 625) = 1250 / 1250

GCD(2, 625) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 889

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

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

GCD(1, 889) = 889 / 889

GCD(1, 889) = 1

GCD of 40, 914, 625, 889 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 440, 601, 413
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• GCD of 34, 877, 515, 342
• GCD of 51, 928, 575, 876

1. What is the GCD of 40, 914, 625, 889?

GCD of 40, 914, 625, 889 is 1

2. Where do I get the detailed procedure to find GCD of 40, 914, 625, 889?

You can find a detailed procedure to find GCD of 40, 914, 625, 889 on our page.

3. How to find GCD of 40, 914, 625, 889 on a calculator?

You can find the GCD of 40, 914, 625, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.