Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 882, 700, 752, 771 i.e. 1 largest integer that divides all the numbers equally.
GCD of 882, 700, 752, 771 is 1
GCD(882, 700, 752, 771) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 882, 700, 752, 771 is 1
GCD(882, 700, 752, 771) = 1
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
Here are some samples of GCD of Numbers calculations.
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.