GCD of 751, 507, 71, 278 Calculator

Given Input numbers are 751, 507, 71, 278

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

Divisors of 751

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

1, 751

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 751, 507, 71, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 751, 507, 71, 278 is 1.

Therefore, GCD of numbers 751, 507, 71, 278 is 1

Given Input Data is 751, 507, 71, 278

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

Prime Factorization of 751 is 751

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 71 is 71

Prime Factorization of 278 is 2 x 139

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(751, 507) = 380757

GCD(751, 507) = ( 751 x 507 ) / 380757

GCD(751, 507) = 380757 / 380757

GCD(751, 507) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 751, 507, 71, 278 is 1

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1. What is the GCD of 751, 507, 71, 278?

GCD of 751, 507, 71, 278 is 1

2. Where do I get the detailed procedure to find GCD of 751, 507, 71, 278?

You can find a detailed procedure to find GCD of 751, 507, 71, 278 on our page.

3. How to find GCD of 751, 507, 71, 278 on a calculator?

You can find the GCD of 751, 507, 71, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.