GCD of 260, 984, 88, 457 Calculator

Given Input numbers are 260, 984, 88, 457

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 260, 984, 88, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 984, 88, 457 is 1.

Therefore, GCD of numbers 260, 984, 88, 457 is 1

Given Input Data is 260, 984, 88, 457

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 457 is 457

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(260, 984) = 63960

GCD(260, 984) = ( 260 x 984 ) / 63960

GCD(260, 984) = 255840 / 63960

GCD(260, 984) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 88

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

LCM(4, 88) = 88

GCD(4, 88) = ( 4 x 88 ) / 88

GCD(4, 88) = 352 / 88

GCD(4, 88) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 457

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

LCM(4, 457) = 1828

GCD(4, 457) = ( 4 x 457 ) / 1828

GCD(4, 457) = 1828 / 1828

GCD(4, 457) = 1

GCD of 260, 984, 88, 457 is 1

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• GCD of 738, 296, 55, 115
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• GCD of 422, 386, 88, 321

1. What is the GCD of 260, 984, 88, 457?

GCD of 260, 984, 88, 457 is 1

2. Where do I get the detailed procedure to find GCD of 260, 984, 88, 457?

You can find a detailed procedure to find GCD of 260, 984, 88, 457 on our page.

3. How to find GCD of 260, 984, 88, 457 on a calculator?

You can find the GCD of 260, 984, 88, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.