GCD of 250, 980, 175, 914 Calculator

Given Input numbers are 250, 980, 175, 914

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

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 914

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

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 250, 980, 175, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 980, 175, 914 is 1.

Therefore, GCD of numbers 250, 980, 175, 914 is 1

Given Input Data is 250, 980, 175, 914

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

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 914 is 2 x 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(250, 980) = 24500

GCD(250, 980) = ( 250 x 980 ) / 24500

GCD(250, 980) = 245000 / 24500

GCD(250, 980) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 175

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

LCM(10, 175) = 350

GCD(10, 175) = ( 10 x 175 ) / 350

GCD(10, 175) = 1750 / 350

GCD(10, 175) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 914

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

LCM(5, 914) = 4570

GCD(5, 914) = ( 5 x 914 ) / 4570

GCD(5, 914) = 4570 / 4570

GCD(5, 914) = 1

GCD of 250, 980, 175, 914 is 1

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1. What is the GCD of 250, 980, 175, 914?

GCD of 250, 980, 175, 914 is 1

2. Where do I get the detailed procedure to find GCD of 250, 980, 175, 914?

You can find a detailed procedure to find GCD of 250, 980, 175, 914 on our page.

3. How to find GCD of 250, 980, 175, 914 on a calculator?

You can find the GCD of 250, 980, 175, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.