GCD of 914, 750, 654 Calculator

Given Input numbers are 914, 750, 654

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

Divisors of 914

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

1, 2, 457, 914

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 914, 750, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 750, 654 is 2.

Therefore, GCD of numbers 914, 750, 654 is 2

Given Input Data is 914, 750, 654

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 654 is 2 x 3 x 109

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(914, 750) = 342750

GCD(914, 750) = ( 914 x 750 ) / 342750

GCD(914, 750) = 685500 / 342750

GCD(914, 750) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 654

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

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

GCD(2, 654) = 1308 / 654

GCD(2, 654) = 2

GCD of 914, 750, 654 is 2

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1. What is the GCD of 914, 750, 654?

GCD of 914, 750, 654 is 2

2. Where do I get the detailed procedure to find GCD of 914, 750, 654?

You can find a detailed procedure to find GCD of 914, 750, 654 on our page.

3. How to find GCD of 914, 750, 654 on a calculator?

You can find the GCD of 914, 750, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.