GCD of 878, 892, 47, 661 Calculator

Given Input numbers are 878, 892, 47, 661

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

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Greatest Common Divisior

We found the divisors of 878, 892, 47, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 892, 47, 661 is 1.

Therefore, GCD of numbers 878, 892, 47, 661 is 1

Given Input Data is 878, 892, 47, 661

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

Prime Factorization of 878 is 2 x 439

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 47 is 47

Prime Factorization of 661 is 661

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(878, 892) = 391588

GCD(878, 892) = ( 878 x 892 ) / 391588

GCD(878, 892) = 783176 / 391588

GCD(878, 892) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 47

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

LCM(2, 47) = 94

GCD(2, 47) = ( 2 x 47 ) / 94

GCD(2, 47) = 94 / 94

GCD(2, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

GCD of 878, 892, 47, 661 is 1

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1. What is the GCD of 878, 892, 47, 661?

GCD of 878, 892, 47, 661 is 1

2. Where do I get the detailed procedure to find GCD of 878, 892, 47, 661?

You can find a detailed procedure to find GCD of 878, 892, 47, 661 on our page.

3. How to find GCD of 878, 892, 47, 661 on a calculator?

You can find the GCD of 878, 892, 47, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.