GCD of 762, 224, 882, 883 Calculator

Given Input numbers are 762, 224, 882, 883

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

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 883

List of positive integer divisors of 883 that divides 883 without a remainder.

1, 883

Greatest Common Divisior

We found the divisors of 762, 224, 882, 883 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 224, 882, 883 is 1.

Therefore, GCD of numbers 762, 224, 882, 883 is 1

Given Input Data is 762, 224, 882, 883

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 883 is 883

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(762, 224) = 85344

GCD(762, 224) = ( 762 x 224 ) / 85344

GCD(762, 224) = 170688 / 85344

GCD(762, 224) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 882

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

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

GCD(2, 882) = 1764 / 882

GCD(2, 882) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 883

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

LCM(2, 883) = 1766

GCD(2, 883) = ( 2 x 883 ) / 1766

GCD(2, 883) = 1766 / 1766

GCD(2, 883) = 1

GCD of 762, 224, 882, 883 is 1

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1. What is the GCD of 762, 224, 882, 883?

GCD of 762, 224, 882, 883 is 1

2. Where do I get the detailed procedure to find GCD of 762, 224, 882, 883?

You can find a detailed procedure to find GCD of 762, 224, 882, 883 on our page.

3. How to find GCD of 762, 224, 882, 883 on a calculator?

You can find the GCD of 762, 224, 882, 883 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.