GCD of 254, 196, 678, 695 Calculator

Given Input numbers are 254, 196, 678, 695

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

Divisors of 254

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

1, 2, 127, 254

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 254, 196, 678, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 196, 678, 695 is 1.

Therefore, GCD of numbers 254, 196, 678, 695 is 1

Given Input Data is 254, 196, 678, 695

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 695 is 5 x 139

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(254, 196) = 24892

GCD(254, 196) = ( 254 x 196 ) / 24892

GCD(254, 196) = 49784 / 24892

GCD(254, 196) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 678

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

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

GCD(2, 678) = 1356 / 678

GCD(2, 678) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 695

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

LCM(2, 695) = 1390

GCD(2, 695) = ( 2 x 695 ) / 1390

GCD(2, 695) = 1390 / 1390

GCD(2, 695) = 1

GCD of 254, 196, 678, 695 is 1

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1. What is the GCD of 254, 196, 678, 695?

GCD of 254, 196, 678, 695 is 1

2. Where do I get the detailed procedure to find GCD of 254, 196, 678, 695?

You can find a detailed procedure to find GCD of 254, 196, 678, 695 on our page.

3. How to find GCD of 254, 196, 678, 695 on a calculator?

You can find the GCD of 254, 196, 678, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.