GCD of 257, 350, 254, 502 Calculator

Given Input numbers are 257, 350, 254, 502

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

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 254

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

1, 2, 127, 254

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 257, 350, 254, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 350, 254, 502 is 1.

Therefore, GCD of numbers 257, 350, 254, 502 is 1

Given Input Data is 257, 350, 254, 502

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

Prime Factorization of 257 is 257

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 254 is 2 x 127

Prime Factorization of 502 is 2 x 251

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(257, 350) = 89950

GCD(257, 350) = ( 257 x 350 ) / 89950

GCD(257, 350) = 89950 / 89950

GCD(257, 350) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 257, 350, 254, 502 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 513, 367, 198, 501
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• GCD of 851, 933, 545, 116

1. What is the GCD of 257, 350, 254, 502?

GCD of 257, 350, 254, 502 is 1

2. Where do I get the detailed procedure to find GCD of 257, 350, 254, 502?

You can find a detailed procedure to find GCD of 257, 350, 254, 502 on our page.

3. How to find GCD of 257, 350, 254, 502 on a calculator?

You can find the GCD of 257, 350, 254, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.