GCD of 884, 157, 100, 712 Calculator

Given Input numbers are 884, 157, 100, 712

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

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 884, 157, 100, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 884, 157, 100, 712 is 1.

Therefore, GCD of numbers 884, 157, 100, 712 is 1

Given Input Data is 884, 157, 100, 712

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

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 157 is 157

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 712 is 2 x 2 x 2 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(884, 157) = 138788

GCD(884, 157) = ( 884 x 157 ) / 138788

GCD(884, 157) = 138788 / 138788

GCD(884, 157) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

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

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

GCD of 884, 157, 100, 712 is 1

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1. What is the GCD of 884, 157, 100, 712?

GCD of 884, 157, 100, 712 is 1

2. Where do I get the detailed procedure to find GCD of 884, 157, 100, 712?

You can find a detailed procedure to find GCD of 884, 157, 100, 712 on our page.

3. How to find GCD of 884, 157, 100, 712 on a calculator?

You can find the GCD of 884, 157, 100, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.