GCD of 280, 946, 25, 617 Calculator

Given Input numbers are 280, 946, 25, 617

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 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Greatest Common Divisior

We found the divisors of 280, 946, 25, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 946, 25, 617 is 1.

Therefore, GCD of numbers 280, 946, 25, 617 is 1

Given Input Data is 280, 946, 25, 617

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 946 is 2 x 11 x 43

Prime Factorization of 25 is 5 x 5

Prime Factorization of 617 is 617

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, 946) = 132440

GCD(280, 946) = ( 280 x 946 ) / 132440

GCD(280, 946) = 264880 / 132440

GCD(280, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 617

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

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

GCD(1, 617) = 617 / 617

GCD(1, 617) = 1

GCD of 280, 946, 25, 617 is 1

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1. What is the GCD of 280, 946, 25, 617?

GCD of 280, 946, 25, 617 is 1

2. Where do I get the detailed procedure to find GCD of 280, 946, 25, 617?

You can find a detailed procedure to find GCD of 280, 946, 25, 617 on our page.

3. How to find GCD of 280, 946, 25, 617 on a calculator?

You can find the GCD of 280, 946, 25, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.