GCD of 110, 614, 64, 278 Calculator

Given Input numbers are 110, 614, 64, 278

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

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 278

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

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 110, 614, 64, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 614, 64, 278 is 2.

Therefore, GCD of numbers 110, 614, 64, 278 is 2

Given Input Data is 110, 614, 64, 278

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

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 614 is 2 x 307

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 278 is 2 x 139

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(110, 614) = 33770

GCD(110, 614) = ( 110 x 614 ) / 33770

GCD(110, 614) = 67540 / 33770

GCD(110, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 278

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

LCM(2, 278) = 278

GCD(2, 278) = ( 2 x 278 ) / 278

GCD(2, 278) = 556 / 278

GCD(2, 278) = 2

GCD of 110, 614, 64, 278 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 319, 98, 316
• GCD of 501, 531, 65, 900
• GCD of 299, 772, 65, 263
• GCD of 202, 837, 63, 471
• GCD of 566, 300, 31, 867

1. What is the GCD of 110, 614, 64, 278?

GCD of 110, 614, 64, 278 is 2

2. Where do I get the detailed procedure to find GCD of 110, 614, 64, 278?

You can find a detailed procedure to find GCD of 110, 614, 64, 278 on our page.

3. How to find GCD of 110, 614, 64, 278 on a calculator?

You can find the GCD of 110, 614, 64, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.