GCD of 78, 655, 625, 269 Calculator

Given Input numbers are 78, 655, 625, 269

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 78, 655, 625, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 655, 625, 269 is 1.

Therefore, GCD of numbers 78, 655, 625, 269 is 1

Given Input Data is 78, 655, 625, 269

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 655 is 5 x 131

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 269 is 269

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(78, 655) = 51090

GCD(78, 655) = ( 78 x 655 ) / 51090

GCD(78, 655) = 51090 / 51090

GCD(78, 655) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 625

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

LCM(1, 625) = 625

GCD(1, 625) = ( 1 x 625 ) / 625

GCD(1, 625) = 625 / 625

GCD(1, 625) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 78, 655, 625, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 851, 116, 416
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• GCD of 16, 503, 713, 114
• GCD of 68, 497, 831, 154

1. What is the GCD of 78, 655, 625, 269?

GCD of 78, 655, 625, 269 is 1

2. Where do I get the detailed procedure to find GCD of 78, 655, 625, 269?

You can find a detailed procedure to find GCD of 78, 655, 625, 269 on our page.

3. How to find GCD of 78, 655, 625, 269 on a calculator?

You can find the GCD of 78, 655, 625, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.