GCD of 254, 778, 51, 700 Calculator

Given Input numbers are 254, 778, 51, 700

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 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 254, 778, 51, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 778, 51, 700 is 1.

Therefore, GCD of numbers 254, 778, 51, 700 is 1

Given Input Data is 254, 778, 51, 700

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 778 is 2 x 389

Prime Factorization of 51 is 3 x 17

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

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, 778) = 98806

GCD(254, 778) = ( 254 x 778 ) / 98806

GCD(254, 778) = 197612 / 98806

GCD(254, 778) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 254, 778, 51, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 524, 61, 471
• GCD of 144, 726, 99, 441
• GCD of 663, 517, 69, 829
• GCD of 170, 603, 82, 453
• GCD of 786, 627, 17, 684

1. What is the GCD of 254, 778, 51, 700?

GCD of 254, 778, 51, 700 is 1

2. Where do I get the detailed procedure to find GCD of 254, 778, 51, 700?

You can find a detailed procedure to find GCD of 254, 778, 51, 700 on our page.

3. How to find GCD of 254, 778, 51, 700 on a calculator?

You can find the GCD of 254, 778, 51, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.