GCD of 125, 310, 471, 148 Calculator

Given Input numbers are 125, 310, 471, 148

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 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 125, 310, 471, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 310, 471, 148 is 1.

Therefore, GCD of numbers 125, 310, 471, 148 is 1

Given Input Data is 125, 310, 471, 148

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 310 is 2 x 5 x 31

Prime Factorization of 471 is 3 x 157

Prime Factorization of 148 is 2 x 2 x 37

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, 310) = 7750

GCD(125, 310) = ( 125 x 310 ) / 7750

GCD(125, 310) = 38750 / 7750

GCD(125, 310) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 471

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

LCM(5, 471) = 2355

GCD(5, 471) = ( 5 x 471 ) / 2355

GCD(5, 471) = 2355 / 2355

GCD(5, 471) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 125, 310, 471, 148 is 1

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• GCD of 623, 404, 115, 711
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• GCD of 592, 821, 779, 171

1. What is the GCD of 125, 310, 471, 148?

GCD of 125, 310, 471, 148 is 1

2. Where do I get the detailed procedure to find GCD of 125, 310, 471, 148?

You can find a detailed procedure to find GCD of 125, 310, 471, 148 on our page.

3. How to find GCD of 125, 310, 471, 148 on a calculator?

You can find the GCD of 125, 310, 471, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.