GCD of 125, 316, 49, 267 Calculator

Given Input numbers are 125, 316, 49, 267

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 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Greatest Common Divisior

We found the divisors of 125, 316, 49, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 316, 49, 267 is 1.

Therefore, GCD of numbers 125, 316, 49, 267 is 1

Given Input Data is 125, 316, 49, 267

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 316 is 2 x 2 x 79

Prime Factorization of 49 is 7 x 7

Prime Factorization of 267 is 3 x 89

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, 316) = 39500

GCD(125, 316) = ( 125 x 316 ) / 39500

GCD(125, 316) = 39500 / 39500

GCD(125, 316) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 267

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

LCM(1, 267) = 267

GCD(1, 267) = ( 1 x 267 ) / 267

GCD(1, 267) = 267 / 267

GCD(1, 267) = 1

GCD of 125, 316, 49, 267 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 797, 97, 878
• GCD of 898, 635, 88, 602
• GCD of 182, 576, 23, 858
• GCD of 983, 173, 45, 907
• GCD of 715, 761, 49, 888

1. What is the GCD of 125, 316, 49, 267?

GCD of 125, 316, 49, 267 is 1

2. Where do I get the detailed procedure to find GCD of 125, 316, 49, 267?

You can find a detailed procedure to find GCD of 125, 316, 49, 267 on our page.

3. How to find GCD of 125, 316, 49, 267 on a calculator?

You can find the GCD of 125, 316, 49, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.