GCD of 882, 700, 752, 771 Calculator

Given Input numbers are 882, 700, 752, 771

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 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 882, 700, 752, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 700, 752, 771 is 1.

Therefore, GCD of numbers 882, 700, 752, 771 is 1

Given Input Data is 882, 700, 752, 771

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 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 771 is 3 x 257

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, 700) = 44100

GCD(882, 700) = ( 882 x 700 ) / 44100

GCD(882, 700) = 617400 / 44100

GCD(882, 700) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 752

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

LCM(14, 752) = 5264

GCD(14, 752) = ( 14 x 752 ) / 5264

GCD(14, 752) = 10528 / 5264

GCD(14, 752) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 771

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

LCM(2, 771) = 1542

GCD(2, 771) = ( 2 x 771 ) / 1542

GCD(2, 771) = 1542 / 1542

GCD(2, 771) = 1

GCD of 882, 700, 752, 771 is 1

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1. What is the GCD of 882, 700, 752, 771?

GCD of 882, 700, 752, 771 is 1

2. Where do I get the detailed procedure to find GCD of 882, 700, 752, 771?

You can find a detailed procedure to find GCD of 882, 700, 752, 771 on our page.

3. How to find GCD of 882, 700, 752, 771 on a calculator?

You can find the GCD of 882, 700, 752, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.