GCD of 895, 217, 948, 427 Calculator

Given Input numbers are 895, 217, 948, 427

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

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

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

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 895, 217, 948, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 895, 217, 948, 427 is 1.

Therefore, GCD of numbers 895, 217, 948, 427 is 1

Given Input Data is 895, 217, 948, 427

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

Prime Factorization of 895 is 5 x 179

Prime Factorization of 217 is 7 x 31

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

Prime Factorization of 427 is 7 x 61

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(895, 217) = 194215

GCD(895, 217) = ( 895 x 217 ) / 194215

GCD(895, 217) = 194215 / 194215

GCD(895, 217) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

GCD of 895, 217, 948, 427 is 1

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1. What is the GCD of 895, 217, 948, 427?

GCD of 895, 217, 948, 427 is 1

2. Where do I get the detailed procedure to find GCD of 895, 217, 948, 427?

You can find a detailed procedure to find GCD of 895, 217, 948, 427 on our page.

3. How to find GCD of 895, 217, 948, 427 on a calculator?

You can find the GCD of 895, 217, 948, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.