GCD of 254, 378, 726, 751 Calculator

Given Input numbers are 254, 378, 726, 751

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 751

List of positive integer divisors of 751 that divides 751 without a remainder.

1, 751

Greatest Common Divisior

We found the divisors of 254, 378, 726, 751 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 378, 726, 751 is 1.

Therefore, GCD of numbers 254, 378, 726, 751 is 1

Given Input Data is 254, 378, 726, 751

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 751 is 751

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(254, 378) = 48006

GCD(254, 378) = ( 254 x 378 ) / 48006

GCD(254, 378) = 96012 / 48006

GCD(254, 378) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 726

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

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

GCD(2, 726) = 1452 / 726

GCD(2, 726) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 751

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

LCM(2, 751) = 1502

GCD(2, 751) = ( 2 x 751 ) / 1502

GCD(2, 751) = 1502 / 1502

GCD(2, 751) = 1

GCD of 254, 378, 726, 751 is 1

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1. What is the GCD of 254, 378, 726, 751?

GCD of 254, 378, 726, 751 is 1

2. Where do I get the detailed procedure to find GCD of 254, 378, 726, 751?

You can find a detailed procedure to find GCD of 254, 378, 726, 751 on our page.

3. How to find GCD of 254, 378, 726, 751 on a calculator?

You can find the GCD of 254, 378, 726, 751 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.