GCD of 654, 375, 26, 461 Calculator

Given Input numbers are 654, 375, 26, 461

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 654, 375, 26, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 375, 26, 461 is 1.

Therefore, GCD of numbers 654, 375, 26, 461 is 1

Given Input Data is 654, 375, 26, 461

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 26 is 2 x 13

Prime Factorization of 461 is 461

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(654, 375) = 81750

GCD(654, 375) = ( 654 x 375 ) / 81750

GCD(654, 375) = 245250 / 81750

GCD(654, 375) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 26

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

LCM(3, 26) = 78

GCD(3, 26) = ( 3 x 26 ) / 78

GCD(3, 26) = 78 / 78

GCD(3, 26) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

GCD of 654, 375, 26, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 280, 540, 64, 548
• GCD of 392, 159, 13, 362
• GCD of 847, 283, 44, 519
• GCD of 252, 267, 49, 315
• GCD of 392, 291, 82, 465

1. What is the GCD of 654, 375, 26, 461?

GCD of 654, 375, 26, 461 is 1

2. Where do I get the detailed procedure to find GCD of 654, 375, 26, 461?

You can find a detailed procedure to find GCD of 654, 375, 26, 461 on our page.

3. How to find GCD of 654, 375, 26, 461 on a calculator?

You can find the GCD of 654, 375, 26, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.