GCD of 125, 654, 71, 470 Calculator

Given Input numbers are 125, 654, 71, 470

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

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

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 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 125, 654, 71, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 654, 71, 470 is 1.

Therefore, GCD of numbers 125, 654, 71, 470 is 1

Given Input Data is 125, 654, 71, 470

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 71 is 71

Prime Factorization of 470 is 2 x 5 x 47

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(125, 654) = 81750

GCD(125, 654) = ( 125 x 654 ) / 81750

GCD(125, 654) = 81750 / 81750

GCD(125, 654) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 125, 654, 71, 470 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 584, 98, 736
• GCD of 546, 202, 49, 793
• GCD of 714, 877, 83, 884
• GCD of 304, 842, 22, 753
• GCD of 829, 520, 28, 215

1. What is the GCD of 125, 654, 71, 470?

GCD of 125, 654, 71, 470 is 1

2. Where do I get the detailed procedure to find GCD of 125, 654, 71, 470?

You can find a detailed procedure to find GCD of 125, 654, 71, 470 on our page.

3. How to find GCD of 125, 654, 71, 470 on a calculator?

You can find the GCD of 125, 654, 71, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.