GCD of 280, 919, 752 Calculator

Given Input numbers are 280, 919, 752

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 280, 919, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 919, 752 is 1.

Therefore, GCD of numbers 280, 919, 752 is 1

Given Input Data is 280, 919, 752

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 919 is 919

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(280, 919) = 257320

GCD(280, 919) = ( 280 x 919 ) / 257320

GCD(280, 919) = 257320 / 257320

GCD(280, 919) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

GCD of 280, 919, 752 is 1

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1. What is the GCD of 280, 919, 752?

GCD of 280, 919, 752 is 1

2. Where do I get the detailed procedure to find GCD of 280, 919, 752?

You can find a detailed procedure to find GCD of 280, 919, 752 on our page.

3. How to find GCD of 280, 919, 752 on a calculator?

You can find the GCD of 280, 919, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.