GCD of 278, 496, 35, 221 Calculator

Given Input numbers are 278, 496, 35, 221

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

Divisors of 278

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

1, 2, 139, 278

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 278, 496, 35, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 496, 35, 221 is 1.

Therefore, GCD of numbers 278, 496, 35, 221 is 1

Given Input Data is 278, 496, 35, 221

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 35 is 5 x 7

Prime Factorization of 221 is 13 x 17

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(278, 496) = 68944

GCD(278, 496) = ( 278 x 496 ) / 68944

GCD(278, 496) = 137888 / 68944

GCD(278, 496) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 35

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

LCM(2, 35) = 70

GCD(2, 35) = ( 2 x 35 ) / 70

GCD(2, 35) = 70 / 70

GCD(2, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

GCD of 278, 496, 35, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 440, 243, 28, 471
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• GCD of 981, 431, 99, 585
• GCD of 129, 963, 36, 298
• GCD of 904, 410, 93, 287

1. What is the GCD of 278, 496, 35, 221?

GCD of 278, 496, 35, 221 is 1

2. Where do I get the detailed procedure to find GCD of 278, 496, 35, 221?

You can find a detailed procedure to find GCD of 278, 496, 35, 221 on our page.

3. How to find GCD of 278, 496, 35, 221 on a calculator?

You can find the GCD of 278, 496, 35, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.