GCD of 754, 700, 250 Calculator

Given Input numbers are 754, 700, 250

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 250

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

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

Greatest Common Divisior

We found the divisors of 754, 700, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 700, 250 is 2.

Therefore, GCD of numbers 754, 700, 250 is 2

Given Input Data is 754, 700, 250

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(754, 700) = 263900

GCD(754, 700) = ( 754 x 700 ) / 263900

GCD(754, 700) = 527800 / 263900

GCD(754, 700) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 250

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

LCM(2, 250) = 250

GCD(2, 250) = ( 2 x 250 ) / 250

GCD(2, 250) = 500 / 250

GCD(2, 250) = 2

GCD of 754, 700, 250 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 624, 606
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• GCD of 501, 861, 474
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1. What is the GCD of 754, 700, 250?

GCD of 754, 700, 250 is 2

2. Where do I get the detailed procedure to find GCD of 754, 700, 250?

You can find a detailed procedure to find GCD of 754, 700, 250 on our page.

3. How to find GCD of 754, 700, 250 on a calculator?

You can find the GCD of 754, 700, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.