GCD of 882, 760, 57, 264 Calculator

Given Input numbers are 882, 760, 57, 264

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

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 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 882, 760, 57, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 760, 57, 264 is 1.

Therefore, GCD of numbers 882, 760, 57, 264 is 1

Given Input Data is 882, 760, 57, 264

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

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 57 is 3 x 19

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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(882, 760) = 335160

GCD(882, 760) = ( 882 x 760 ) / 335160

GCD(882, 760) = 670320 / 335160

GCD(882, 760) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 882, 760, 57, 264 is 1

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• GCD of 980, 584, 28, 513
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1. What is the GCD of 882, 760, 57, 264?

GCD of 882, 760, 57, 264 is 1

2. Where do I get the detailed procedure to find GCD of 882, 760, 57, 264?

You can find a detailed procedure to find GCD of 882, 760, 57, 264 on our page.

3. How to find GCD of 882, 760, 57, 264 on a calculator?

You can find the GCD of 882, 760, 57, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.