GCD of 667, 815, 105, 948 Calculator

Given Input numbers are 667, 815, 105, 948

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

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 667, 815, 105, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 815, 105, 948 is 1.

Therefore, GCD of numbers 667, 815, 105, 948 is 1

Given Input Data is 667, 815, 105, 948

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

Prime Factorization of 667 is 23 x 29

Prime Factorization of 815 is 5 x 163

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 948 is 2 x 2 x 3 x 79

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(667, 815) = 543605

GCD(667, 815) = ( 667 x 815 ) / 543605

GCD(667, 815) = 543605 / 543605

GCD(667, 815) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

GCD of 667, 815, 105, 948 is 1

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1. What is the GCD of 667, 815, 105, 948?

GCD of 667, 815, 105, 948 is 1

2. Where do I get the detailed procedure to find GCD of 667, 815, 105, 948?

You can find a detailed procedure to find GCD of 667, 815, 105, 948 on our page.

3. How to find GCD of 667, 815, 105, 948 on a calculator?

You can find the GCD of 667, 815, 105, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.